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Finding the Fourth Proportional to 396,251.31, 546,826.78 and 226,489.08

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Solution

The fourth proportional to 396,251.31, 546,826.78 and 226,489.08 is: 312,554.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,251.31 : 546,826.78 = 226,489.08 : x
  2. Step 2: Convert to fraction form
    396,251.31/546,826.78 = 226,489.08/x
  3. Step 3: Cross multiply
    396,251.31x = 546,826.78 × 226,489.08
  4. Step 4: Simplify right side
    396,251.31x = 123,850,294,321.56
  5. Step 5: Solve for x
    x = 123,850,294,321.56/396,251.31
  6. Step 6: Final answer
    x = 312,554.91

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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.