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Finding the Fourth Proportional to 327,863.25, 491,466.56 and 127,908.54

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Solution

The fourth proportional to 327,863.25, 491,466.56 and 127,908.54 is: 191,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,863.25 : 491,466.56 = 127,908.54 : x
  2. Step 2: Convert to fraction form
    327,863.25/491,466.56 = 127,908.54/x
  3. Step 3: Cross multiply
    327,863.25x = 491,466.56 × 127,908.54
  4. Step 4: Simplify right side
    327,863.25x = 62,862,769,508.88
  5. Step 5: Solve for x
    x = 62,862,769,508.88/327,863.25
  6. Step 6: Final answer
    x = 191,734.72

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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.