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Finding the Fourth Proportional to 396,909.09, 547,738.34 and 215,622.38

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Solution

The fourth proportional to 396,909.09, 547,738.34 and 215,622.38 is: 297,560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,909.09 : 547,738.34 = 215,622.38 : x
  2. Step 2: Convert to fraction form
    396,909.09/547,738.34 = 215,622.38/x
  3. Step 3: Cross multiply
    396,909.09x = 547,738.34 × 215,622.38
  4. Step 4: Simplify right side
    396,909.09x = 118,104,644,779.28
  5. Step 5: Solve for x
    x = 118,104,644,779.28/396,909.09
  6. Step 6: Final answer
    x = 297,560.95

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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.