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Finding the Fourth Proportional to 585,517.31, 878,276.26 and 164,793.18

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Solution

The fourth proportional to 585,517.31, 878,276.26 and 164,793.18 is: 247,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,517.31 : 878,276.26 = 164,793.18 : x
  2. Step 2: Convert to fraction form
    585,517.31/878,276.26 = 164,793.18/x
  3. Step 3: Cross multiply
    585,517.31x = 878,276.26 × 164,793.18
  4. Step 4: Simplify right side
    585,517.31x = 144,733,937,803.91
  5. Step 5: Solve for x
    x = 144,733,937,803.91/585,517.31
  6. Step 6: Final answer
    x = 247,189.86

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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.