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Finding the Fourth Proportional to 577,780.92, 797,337.14 and 323,131.50

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Solution

The fourth proportional to 577,780.92, 797,337.14 and 323,131.50 is: 445,921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,780.92 : 797,337.14 = 323,131.50 : x
  2. Step 2: Convert to fraction form
    577,780.92/797,337.14 = 323,131.50/x
  3. Step 3: Cross multiply
    577,780.92x = 797,337.14 × 323,131.50
  4. Step 4: Simplify right side
    577,780.92x = 257,644,744,438.25
  5. Step 5: Solve for x
    x = 257,644,744,438.25/577,780.92
  6. Step 6: Final answer
    x = 445,921.17

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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.