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Finding the Fourth Proportional to 396,862.68, 547,642.17 and 224,731.20

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Solution

The fourth proportional to 396,862.68, 547,642.17 and 224,731.20 is: 310,113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,862.68 : 547,642.17 = 224,731.20 : x
  2. Step 2: Convert to fraction form
    396,862.68/547,642.17 = 224,731.20/x
  3. Step 3: Cross multiply
    396,862.68x = 547,642.17 × 224,731.20
  4. Step 4: Simplify right side
    396,862.68x = 123,072,282,034.70
  5. Step 5: Solve for x
    x = 123,072,282,034.70/396,862.68
  6. Step 6: Final answer
    x = 310,113.01

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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.