Know how they get to be low SES? THEY DON'T STUDY!!
In the US, IF you work the educational system, you can pull yourself into the middle class with as much in student debt as a high end toyota. Today. With no money. Bust your ass in school, take out a loan, and go to a 2nd tier college in engineering or accounting, and voila -- you are middle class. This is the worst case -- if you are actually talented, you should be able to get scholarships and/ or go to a top tier university -- voila, you are UPPER middle class.
HOWEVER, if you are born to a rural working class family, your mom and dad tell you school is a waste of time, that you can't afford it, your teachers assume you are doomed to failure, and you can hit a local maximum in prestige by being a smart aleck and a decent football player and working early. Nobody is going to encourage you do anything else -- not your teachers, parents, or age group friends.
And you are screwed, before you even showed up in kindergarten... It has nothing to do with race or money, just culture. The classic guy on the interaction of culture with education with class is Pierre Bourdieu -- look him up.
I know about these white families some -- I imagine it is a little worse for black and hispanic kids. But the working class whites prove my point about culutre better, since they are supposedly the power group. (Well, in terms of race, sure, but what matters is class -- go Karl!)
(With asian kids, there is a reverse "Pygmalion Effect"; I knew a girl who got through a second tier UC NEVER doing any homework -- if she were black, she would have failed out early because every little thing she did wrong would have been fodder for preconceptions. Or if she was working class "country" white.)