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Finding the Fourth Proportional to 327,866.41, 491,800.49 and 91,209.11

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Solution

The fourth proportional to 327,866.41, 491,800.49 and 91,209.11 is: 136,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,866.41 : 491,800.49 = 91,209.11 : x
  2. Step 2: Convert to fraction form
    327,866.41/491,800.49 = 91,209.11/x
  3. Step 3: Cross multiply
    327,866.41x = 491,800.49 × 91,209.11
  4. Step 4: Simplify right side
    327,866.41x = 44,856,685,991.94
  5. Step 5: Solve for x
    x = 44,856,685,991.94/327,866.41
  6. Step 6: Final answer
    x = 136,813.91

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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.