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Finding the Fourth Proportional to 522,082.20, 781,568.10 and 311,611.80

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Solution

The fourth proportional to 522,082.20, 781,568.10 and 311,611.80 is: 466,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,082.20 : 781,568.10 = 311,611.80 : x
  2. Step 2: Convert to fraction form
    522,082.20/781,568.10 = 311,611.80/x
  3. Step 3: Cross multiply
    522,082.20x = 781,568.10 × 311,611.80
  4. Step 4: Simplify right side
    522,082.20x = 243,545,842,463.58
  5. Step 5: Solve for x
    x = 243,545,842,463.58/522,082.20
  6. Step 6: Final answer
    x = 466,489.46

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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.