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Finding the Fourth Proportional to 396,147.44, 546,695.84 and 224,062.04

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Solution

The fourth proportional to 396,147.44, 546,695.84 and 224,062.04 is: 309,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,147.44 : 546,695.84 = 224,062.04 : x
  2. Step 2: Convert to fraction form
    396,147.44/546,695.84 = 224,062.04/x
  3. Step 3: Cross multiply
    396,147.44x = 546,695.84 × 224,062.04
  4. Step 4: Simplify right side
    396,147.44x = 122,493,781,316.12
  5. Step 5: Solve for x
    x = 122,493,781,316.12/396,147.44
  6. Step 6: Final answer
    x = 309,212.61

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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.