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Finding the Fourth Proportional to 456,229.76, 684,333.12 and 123,797.12

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Solution

The fourth proportional to 456,229.76, 684,333.12 and 123,797.12 is: 185,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,229.76 : 684,333.12 = 123,797.12 : x
  2. Step 2: Convert to fraction form
    456,229.76/684,333.12 = 123,797.12/x
  3. Step 3: Cross multiply
    456,229.76x = 684,333.12 × 123,797.12
  4. Step 4: Simplify right side
    456,229.76x = 84,718,469,376.61
  5. Step 5: Solve for x
    x = 84,718,469,376.61/456,229.76
  6. Step 6: Final answer
    x = 185,692.55

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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.