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Finding the Fourth Proportional to 415,874.90, 573,894.42 and 234,584.12

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Solution

The fourth proportional to 415,874.90, 573,894.42 and 234,584.12 is: 323,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,874.90 : 573,894.42 = 234,584.12 : x
  2. Step 2: Convert to fraction form
    415,874.90/573,894.42 = 234,584.12/x
  3. Step 3: Cross multiply
    415,874.90x = 573,894.42 × 234,584.12
  4. Step 4: Simplify right side
    415,874.90x = 134,626,517,488.61
  5. Step 5: Solve for x
    x = 134,626,517,488.61/415,874.90
  6. Step 6: Final answer
    x = 323,718.79

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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.