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Finding the Fourth Proportional to 585,790.68, 878,686.14 and 165,011.88

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Solution

The fourth proportional to 585,790.68, 878,686.14 and 165,011.88 is: 247,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,790.68 : 878,686.14 = 165,011.88 : x
  2. Step 2: Convert to fraction form
    585,790.68/878,686.14 = 165,011.88/x
  3. Step 3: Cross multiply
    585,790.68x = 878,686.14 × 165,011.88
  4. Step 4: Simplify right side
    585,790.68x = 144,993,651,891.34
  5. Step 5: Solve for x
    x = 144,993,651,891.34/585,790.68
  6. Step 6: Final answer
    x = 247,517.85

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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.