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Finding the Fourth Proportional to 458,145.92, 686,517.42 and 191,761.40

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Solution

The fourth proportional to 458,145.92, 686,517.42 and 191,761.40 is: 287,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,145.92 : 686,517.42 = 191,761.40 : x
  2. Step 2: Convert to fraction form
    458,145.92/686,517.42 = 191,761.40/x
  3. Step 3: Cross multiply
    458,145.92x = 686,517.42 × 191,761.40
  4. Step 4: Simplify right side
    458,145.92x = 131,647,541,583.59
  5. Step 5: Solve for x
    x = 131,647,541,583.59/458,145.92
  6. Step 6: Final answer
    x = 287,348.50

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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.