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Finding the Fourth Proportional to 411,252.96, 616,891.59 and 111,731.97

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Solution

The fourth proportional to 411,252.96, 616,891.59 and 111,731.97 is: 167,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,252.96 : 616,891.59 = 111,731.97 : x
  2. Step 2: Convert to fraction form
    411,252.96/616,891.59 = 111,731.97/x
  3. Step 3: Cross multiply
    411,252.96x = 616,891.59 × 111,731.97
  4. Step 4: Simplify right side
    411,252.96x = 68,926,512,627.13
  5. Step 5: Solve for x
    x = 68,926,512,627.13/411,252.96
  6. Step 6: Final answer
    x = 167,601.26

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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.