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Finding the Fourth Proportional to 437,606.70, 656,410.05 and 408,082.20

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Solution

The fourth proportional to 437,606.70, 656,410.05 and 408,082.20 is: 612,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,606.70 : 656,410.05 = 408,082.20 : x
  2. Step 2: Convert to fraction form
    437,606.70/656,410.05 = 408,082.20/x
  3. Step 3: Cross multiply
    437,606.70x = 656,410.05 × 408,082.20
  4. Step 4: Simplify right side
    437,606.70x = 267,869,257,306.11
  5. Step 5: Solve for x
    x = 267,869,257,306.11/437,606.70
  6. Step 6: Final answer
    x = 612,123.30

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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.