Where I live, NJ, tax amounts aren't calculated that way. They're derived from some complex mens based on local budgets. Since the towns rich people live in have the same budget it has the strange effect of everyone there paying much smaller percentage of property taxes.
The Midwest ones are based on local budgets but then allocated based on assessed values, so when your land jumps because of nearby purchases, you end up paying more related to those who’s property didn’t jump.
