A space station is at an altitude of $447$ km above Earth's surface. What is the magnitude of the acceleration of gravity on this space station in m$/$s$\mathrm{²}?$ Use $5\mathrm{.}98$x$10\mathrm{ \; 2}4$ kg for Earth's mass and $6\mathrm{.}38$x$10\mathrm{⁶}$ m for Earth's radius.

The International Space Station is at about $420$ km$,$ and "space" is typically defined as the region above $100$ km from Earth's surface.