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Finding the Fourth Proportional to 431,500.87, 647,251.76 and 233,082.87

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Solution

The fourth proportional to 431,500.87, 647,251.76 and 233,082.87 is: 349,624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,500.87 : 647,251.76 = 233,082.87 : x
  2. Step 2: Convert to fraction form
    431,500.87/647,251.76 = 233,082.87/x
  3. Step 3: Cross multiply
    431,500.87x = 647,251.76 × 233,082.87
  4. Step 4: Simplify right side
    431,500.87x = 150,863,295,988.86
  5. Step 5: Solve for x
    x = 150,863,295,988.86/431,500.87
  6. Step 6: Final answer
    x = 349,624.55

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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.