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Finding the Fourth Proportional to 274,523.50, 411,772.92 and 74,843.74

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Solution

The fourth proportional to 274,523.50, 411,772.92 and 74,843.74 is: 112,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,523.50 : 411,772.92 = 74,843.74 : x
  2. Step 2: Convert to fraction form
    274,523.50/411,772.92 = 74,843.74/x
  3. Step 3: Cross multiply
    274,523.50x = 411,772.92 × 74,843.74
  4. Step 4: Simplify right side
    274,523.50x = 30,818,625,363.52
  5. Step 5: Solve for x
    x = 30,818,625,363.52/274,523.50
  6. Step 6: Final answer
    x = 112,262.25

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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.