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Finding the Fourth Proportional to 656,937.60, 984,677.40 and 257,445.60

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Solution

The fourth proportional to 656,937.60, 984,677.40 and 257,445.60 is: 385,882.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,937.60 : 984,677.40 = 257,445.60 : x
  2. Step 2: Convert to fraction form
    656,937.60/984,677.40 = 257,445.60/x
  3. Step 3: Cross multiply
    656,937.60x = 984,677.40 × 257,445.60
  4. Step 4: Simplify right side
    656,937.60x = 253,500,864,049.44
  5. Step 5: Solve for x
    x = 253,500,864,049.44/656,937.60
  6. Step 6: Final answer
    x = 385,882.71

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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.