In practice most countries have a few hubs where most of the wealth is created (typically coastal cities), and the taxes collected there fund the rest in the form of redistribution of wealth.
It's 100% absurd and untrue to say "a very large portion of Americans don't pay for any of government" when most of us pay something every time we get a box of crackers or put gas in our tanks.
And if you're going to follow up and clarify with a much narrower way that your statement could be taken to be true, then I'd like to know why you opened with "a very large portion of Americans don't pay for any of government" instead of that much more specific -- and much less "the poors are getting a free ride" -- statement.
If you look at the second quintile and do the same math, you also get a negative result. Only at the middle quintile does it even become possible for them to spend so much locally that their local taxes offset the amount in transfers and services.
I stand by my statement that a very large portion of Americans don't pay for any government. Assuming you consider ~40% of Americans to be a very large portion. I didn't say a majority, just a very large portion. Though it is possible that a majority of households don't pay for any government, depending on the specifics of their local tax rates and spending habits. If the middle quintile doesn't spend ALL their money at a local average tax rate of 12.8%, then they don't contribute either.
0. See page 31, table 1 of 2013 Distribution of Household Income and Taxes [pdf], https://www.cbo.gov/sites/default/files/114th-congress-2015-...