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Finding the Fourth Proportional to 585,869.12, 878,414.72 and 211,843.52

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Solution

The fourth proportional to 585,869.12, 878,414.72 and 211,843.52 is: 317,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,869.12 : 878,414.72 = 211,843.52 : x
  2. Step 2: Convert to fraction form
    585,869.12/878,414.72 = 211,843.52/x
  3. Step 3: Cross multiply
    585,869.12x = 878,414.72 × 211,843.52
  4. Step 4: Simplify right side
    585,869.12x = 186,086,466,304.61
  5. Step 5: Solve for x
    x = 186,086,466,304.61/585,869.12
  6. Step 6: Final answer
    x = 317,624.64

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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.