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Finding the Fourth Proportional to 624,461.28, 861,756.54 and 337,983.72

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Solution

The fourth proportional to 624,461.28, 861,756.54 and 337,983.72 is: 466,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,461.28 : 861,756.54 = 337,983.72 : x
  2. Step 2: Convert to fraction form
    624,461.28/861,756.54 = 337,983.72/x
  3. Step 3: Cross multiply
    624,461.28x = 861,756.54 × 337,983.72
  4. Step 4: Simplify right side
    624,461.28x = 291,259,681,123.53
  5. Step 5: Solve for x
    x = 291,259,681,123.53/624,461.28
  6. Step 6: Final answer
    x = 466,417.52

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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.