A couple wants to purchase a new house and feel that they can afford a mortgage payment of $$$$700$ a month. They are able to obtain a $3030-$year $7\mathrm{.}47\mathrm{.}4\%$ mortgage$($compounded monthly$)$ but must put down $25\%$ of the cost of the house. Assuming that they have enough savings for the down$$ payment, how expensive a house can they$$ afford?

Question content area bottom

Part $1$

The couple can afford a house that costs up to $$$$144429144429.$

$($Round the final answer to the nearest dollar as needed. Round all intermediate values to six decimal places as$$ needed.$)$