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Finding the Fourth Proportional to 396,402.84, 547,036.29 and 226,640.52

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Solution

The fourth proportional to 396,402.84, 547,036.29 and 226,640.52 is: 312,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,402.84 : 547,036.29 = 226,640.52 : x
  2. Step 2: Convert to fraction form
    396,402.84/547,036.29 = 226,640.52/x
  3. Step 3: Cross multiply
    396,402.84x = 547,036.29 × 226,640.52
  4. Step 4: Simplify right side
    396,402.84x = 123,980,589,224.47
  5. Step 5: Solve for x
    x = 123,980,589,224.47/396,402.84
  6. Step 6: Final answer
    x = 312,764.13

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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.