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Finding the Fourth Proportional to 498,377.87, 747,577.43 and 178,550.58

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Solution

The fourth proportional to 498,377.87, 747,577.43 and 178,550.58 is: 267,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,377.87 : 747,577.43 = 178,550.58 : x
  2. Step 2: Convert to fraction form
    498,377.87/747,577.43 = 178,550.58/x
  3. Step 3: Cross multiply
    498,377.87x = 747,577.43 × 178,550.58
  4. Step 4: Simplify right side
    498,377.87x = 133,480,383,721.41
  5. Step 5: Solve for x
    x = 133,480,383,721.41/498,377.87
  6. Step 6: Final answer
    x = 267,829.68

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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.