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Finding the Fourth Proportional to 327,363.19, 491,065.54 and 102,732.48

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Solution

The fourth proportional to 327,363.19, 491,065.54 and 102,732.48 is: 154,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,363.19 : 491,065.54 = 102,732.48 : x
  2. Step 2: Convert to fraction form
    327,363.19/491,065.54 = 102,732.48/x
  3. Step 3: Cross multiply
    327,363.19x = 491,065.54 × 102,732.48
  4. Step 4: Simplify right side
    327,363.19x = 50,448,380,766.74
  5. Step 5: Solve for x
    x = 50,448,380,766.74/327,363.19
  6. Step 6: Final answer
    x = 154,105.23

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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.