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Finding the Fourth Proportional to 443,147.92, 664,663.56 and 123,321.04

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Solution

The fourth proportional to 443,147.92, 664,663.56 and 123,321.04 is: 184,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,147.92 : 664,663.56 = 123,321.04 : x
  2. Step 2: Convert to fraction form
    443,147.92/664,663.56 = 123,321.04/x
  3. Step 3: Cross multiply
    443,147.92x = 664,663.56 × 123,321.04
  4. Step 4: Simplify right side
    443,147.92x = 81,967,001,469.30
  5. Step 5: Solve for x
    x = 81,967,001,469.30/443,147.92
  6. Step 6: Final answer
    x = 184,965.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.