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Finding the Fourth Proportional to 396,147.72, 546,676.38 and 224,062.68

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Solution

The fourth proportional to 396,147.72, 546,676.38 and 224,062.68 is: 309,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,147.72 : 546,676.38 = 224,062.68 : x
  2. Step 2: Convert to fraction form
    396,147.72/546,676.38 = 224,062.68/x
  3. Step 3: Cross multiply
    396,147.72x = 546,676.38 × 224,062.68
  4. Step 4: Simplify right side
    396,147.72x = 122,489,774,795.50
  5. Step 5: Solve for x
    x = 122,489,774,795.50/396,147.72
  6. Step 6: Final answer
    x = 309,202.27

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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.