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Finding the Fourth Proportional to 577,362.24, 796,727.75 and 319,224.22

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Solution

The fourth proportional to 577,362.24, 796,727.75 and 319,224.22 is: 440,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,362.24 : 796,727.75 = 319,224.22 : x
  2. Step 2: Convert to fraction form
    577,362.24/796,727.75 = 319,224.22/x
  3. Step 3: Cross multiply
    577,362.24x = 796,727.75 × 319,224.22
  4. Step 4: Simplify right side
    577,362.24x = 254,334,790,958.17
  5. Step 5: Solve for x
    x = 254,334,790,958.17/577,362.24
  6. Step 6: Final answer
    x = 440,511.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.