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Finding the Fourth Proportional to 492,704.20, 739,056.30 and 437,591.80

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Solution

The fourth proportional to 492,704.20, 739,056.30 and 437,591.80 is: 656,387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,704.20 : 739,056.30 = 437,591.80 : x
  2. Step 2: Convert to fraction form
    492,704.20/739,056.30 = 437,591.80/x
  3. Step 3: Cross multiply
    492,704.20x = 739,056.30 × 437,591.80
  4. Step 4: Simplify right side
    492,704.20x = 323,404,976,618.34
  5. Step 5: Solve for x
    x = 323,404,976,618.34/492,704.20
  6. Step 6: Final answer
    x = 656,387.70

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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.