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Finding the Fourth Proportional to 442,395.47, 663,591.14 and 138,811.85

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Solution

The fourth proportional to 442,395.47, 663,591.14 and 138,811.85 is: 208,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,395.47 : 663,591.14 = 138,811.85 : x
  2. Step 2: Convert to fraction form
    442,395.47/663,591.14 = 138,811.85/x
  3. Step 3: Cross multiply
    442,395.47x = 663,591.14 × 138,811.85
  4. Step 4: Simplify right side
    442,395.47x = 92,114,313,787.01
  5. Step 5: Solve for x
    x = 92,114,313,787.01/442,395.47
  6. Step 6: Final answer
    x = 208,217.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.