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Finding the Fourth Proportional to 338,242.92, 466,778.66 and 204,081

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Solution

The fourth proportional to 338,242.92, 466,778.66 and 204,081 is: 281,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,242.92 : 466,778.66 = 204,081 : x
  2. Step 2: Convert to fraction form
    338,242.92/466,778.66 = 204,081/x
  3. Step 3: Cross multiply
    338,242.92x = 466,778.66 × 204,081
  4. Step 4: Simplify right side
    338,242.92x = 95,260,655,711.46
  5. Step 5: Solve for x
    x = 95,260,655,711.46/338,242.92
  6. Step 6: Final answer
    x = 281,633.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.