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Finding the Fourth Proportional to 327,358.61, 491,058.66 and 102,727.90

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Solution

The fourth proportional to 327,358.61, 491,058.66 and 102,727.90 is: 154,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,358.61 : 491,058.66 = 102,727.90 : x
  2. Step 2: Convert to fraction form
    327,358.61/491,058.66 = 102,727.90/x
  3. Step 3: Cross multiply
    327,358.61x = 491,058.66 × 102,727.90
  4. Step 4: Simplify right side
    327,358.61x = 50,445,424,918.61
  5. Step 5: Solve for x
    x = 50,445,424,918.61/327,358.61
  6. Step 6: Final answer
    x = 154,098.36

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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.