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Finding the Fourth Proportional to 475,882.34, 656,718.57 and 261,024.17

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Solution

The fourth proportional to 475,882.34, 656,718.57 and 261,024.17 is: 360,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,882.34 : 656,718.57 = 261,024.17 : x
  2. Step 2: Convert to fraction form
    475,882.34/656,718.57 = 261,024.17/x
  3. Step 3: Cross multiply
    475,882.34x = 656,718.57 × 261,024.17
  4. Step 4: Simplify right side
    475,882.34x = 171,419,416,374.24
  5. Step 5: Solve for x
    x = 171,419,416,374.24/475,882.34
  6. Step 6: Final answer
    x = 360,213.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.