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Finding the Fourth Proportional to 585,792.68, 878,689.14 and 165,013.88

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Solution

The fourth proportional to 585,792.68, 878,689.14 and 165,013.88 is: 247,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,792.68 : 878,689.14 = 165,013.88 : x
  2. Step 2: Convert to fraction form
    585,792.68/878,689.14 = 165,013.88/x
  3. Step 3: Cross multiply
    585,792.68x = 878,689.14 × 165,013.88
  4. Step 4: Simplify right side
    585,792.68x = 144,995,904,305.26
  5. Step 5: Solve for x
    x = 144,995,904,305.26/585,792.68
  6. Step 6: Final answer
    x = 247,520.85

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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.