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Finding the Fourth Proportional to 396,775.50, 547,531.89 and 224,689.53

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Solution

The fourth proportional to 396,775.50, 547,531.89 and 224,689.53 is: 310,061.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,775.50 : 547,531.89 = 224,689.53 : x
  2. Step 2: Convert to fraction form
    396,775.50/547,531.89 = 224,689.53/x
  3. Step 3: Cross multiply
    396,775.50x = 547,531.89 × 224,689.53
  4. Step 4: Simplify right side
    396,775.50x = 123,024,683,024.11
  5. Step 5: Solve for x
    x = 123,024,683,024.11/396,775.50
  6. Step 6: Final answer
    x = 310,061.19

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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.