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Finding the Fourth Proportional to 327,648.54, 491,057.73 and 159,207.42

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Solution

The fourth proportional to 327,648.54, 491,057.73 and 159,207.42 is: 238,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,648.54 : 491,057.73 = 159,207.42 : x
  2. Step 2: Convert to fraction form
    327,648.54/491,057.73 = 159,207.42/x
  3. Step 3: Cross multiply
    327,648.54x = 491,057.73 × 159,207.42
  4. Step 4: Simplify right side
    327,648.54x = 78,180,034,264.36
  5. Step 5: Solve for x
    x = 78,180,034,264.36/327,648.54
  6. Step 6: Final answer
    x = 238,609.44

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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.