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Finding the Fourth Proportional to 396,446.38, 547,550.10 and 261,085.36

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Solution

The fourth proportional to 396,446.38, 547,550.10 and 261,085.36 is: 360,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,446.38 : 547,550.10 = 261,085.36 : x
  2. Step 2: Convert to fraction form
    396,446.38/547,550.10 = 261,085.36/x
  3. Step 3: Cross multiply
    396,446.38x = 547,550.10 × 261,085.36
  4. Step 4: Simplify right side
    396,446.38x = 142,957,314,976.54
  5. Step 5: Solve for x
    x = 142,957,314,976.54/396,446.38
  6. Step 6: Final answer
    x = 360,596.85

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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.