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Finding the Fourth Proportional to 312,601.60, 431,574.24 and 205,358.68

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Solution

The fourth proportional to 312,601.60, 431,574.24 and 205,358.68 is: 283,515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,601.60 : 431,574.24 = 205,358.68 : x
  2. Step 2: Convert to fraction form
    312,601.60/431,574.24 = 205,358.68/x
  3. Step 3: Cross multiply
    312,601.60x = 431,574.24 × 205,358.68
  4. Step 4: Simplify right side
    312,601.60x = 88,627,516,248.40
  5. Step 5: Solve for x
    x = 88,627,516,248.40/312,601.60
  6. Step 6: Final answer
    x = 283,515.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.