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Finding the Fourth Proportional to 498,474.60, 747,711.90 and 288,522.60

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Solution

The fourth proportional to 498,474.60, 747,711.90 and 288,522.60 is: 432,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,474.60 : 747,711.90 = 288,522.60 : x
  2. Step 2: Convert to fraction form
    498,474.60/747,711.90 = 288,522.60/x
  3. Step 3: Cross multiply
    498,474.60x = 747,711.90 × 288,522.60
  4. Step 4: Simplify right side
    498,474.60x = 215,731,781,438.94
  5. Step 5: Solve for x
    x = 215,731,781,438.94/498,474.60
  6. Step 6: Final answer
    x = 432,783.90

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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.