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Finding the Fourth Proportional to 311,349.78, 467,059.32 and 133,874.64

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Solution

The fourth proportional to 311,349.78, 467,059.32 and 133,874.64 is: 200,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,349.78 : 467,059.32 = 133,874.64 : x
  2. Step 2: Convert to fraction form
    311,349.78/467,059.32 = 133,874.64/x
  3. Step 3: Cross multiply
    311,349.78x = 467,059.32 × 133,874.64
  4. Step 4: Simplify right side
    311,349.78x = 62,527,398,323.64
  5. Step 5: Solve for x
    x = 62,527,398,323.64/311,349.78
  6. Step 6: Final answer
    x = 200,826.86

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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.