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Finding the Fourth Proportional to 396,385.32, 547,008.96 and 215,092.64

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Solution

The fourth proportional to 396,385.32, 547,008.96 and 215,092.64 is: 296,826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,385.32 : 547,008.96 = 215,092.64 : x
  2. Step 2: Convert to fraction form
    396,385.32/547,008.96 = 215,092.64/x
  3. Step 3: Cross multiply
    396,385.32x = 547,008.96 × 215,092.64
  4. Step 4: Simplify right side
    396,385.32x = 117,657,601,310.05
  5. Step 5: Solve for x
    x = 117,657,601,310.05/396,385.32
  6. Step 6: Final answer
    x = 296,826.33

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1.5x scale

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.