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Finding the Fourth Proportional to 411,224.97, 616,845.91 and 126,915.71

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Solution

The fourth proportional to 411,224.97, 616,845.91 and 126,915.71 is: 190,376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,224.97 : 616,845.91 = 126,915.71 : x
  2. Step 2: Convert to fraction form
    411,224.97/616,845.91 = 126,915.71/x
  3. Step 3: Cross multiply
    411,224.97x = 616,845.91 × 126,915.71
  4. Step 4: Simplify right side
    411,224.97x = 78,287,437,380.64
  5. Step 5: Solve for x
    x = 78,287,437,380.64/411,224.97
  6. Step 6: Final answer
    x = 190,376.18

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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.