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Finding the Fourth Proportional to 327,197.72, 491,059.06 and 169,471.28

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Solution

The fourth proportional to 327,197.72, 491,059.06 and 169,471.28 is: 254,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,197.72 : 491,059.06 = 169,471.28 : x
  2. Step 2: Convert to fraction form
    327,197.72/491,059.06 = 169,471.28/x
  3. Step 3: Cross multiply
    327,197.72x = 491,059.06 × 169,471.28
  4. Step 4: Simplify right side
    327,197.72x = 83,220,408,257.77
  5. Step 5: Solve for x
    x = 83,220,408,257.77/327,197.72
  6. Step 6: Final answer
    x = 254,342.87

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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.