For the cash flow revenues shown below, find the value of $G$ that makes the equivalent annual worth in years $1$ through $7$ equal to $$500.$ The interest rate is $7\mathrm{.}00\%$ per year. $($Round the final answer to three decimal places.$)$

$\backslash$table$[[$Year$,$Cash flow, $$,$Year,Cash flow, $$],[0,,4,200\mathrm{.}0+3G$