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Finding the Fourth Proportional to 585,504.01, 878,258.76 and 180,691.24

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Solution

The fourth proportional to 585,504.01, 878,258.76 and 180,691.24 is: 271,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,504.01 : 878,258.76 = 180,691.24 : x
  2. Step 2: Convert to fraction form
    585,504.01/878,258.76 = 180,691.24/x
  3. Step 3: Cross multiply
    585,504.01x = 878,258.76 × 180,691.24
  4. Step 4: Simplify right side
    585,504.01x = 158,693,659,993.97
  5. Step 5: Solve for x
    x = 158,693,659,993.97/585,504.01
  6. Step 6: Final answer
    x = 271,037.70

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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.