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Finding the Fourth Proportional to 291,691.74, 402,380.91 and 200,890.38

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Solution

The fourth proportional to 291,691.74, 402,380.91 and 200,890.38 is: 277,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,691.74 : 402,380.91 = 200,890.38 : x
  2. Step 2: Convert to fraction form
    291,691.74/402,380.91 = 200,890.38/x
  3. Step 3: Cross multiply
    291,691.74x = 402,380.91 × 200,890.38
  4. Step 4: Simplify right side
    291,691.74x = 80,834,453,914.65
  5. Step 5: Solve for x
    x = 80,834,453,914.65/291,691.74
  6. Step 6: Final answer
    x = 277,122.88

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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.