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Finding the Fourth Proportional to 396,446, 547,099.56 and 215,159.48

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Solution

The fourth proportional to 396,446, 547,099.56 and 215,159.48 is: 296,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,446 : 547,099.56 = 215,159.48 : x
  2. Step 2: Convert to fraction form
    396,446/547,099.56 = 215,159.48/x
  3. Step 3: Cross multiply
    396,446x = 547,099.56 × 215,159.48
  4. Step 4: Simplify right side
    396,446x = 117,713,656,837.83
  5. Step 5: Solve for x
    x = 117,713,656,837.83/396,446
  6. Step 6: Final answer
    x = 296,922.30

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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.