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Finding the Fourth Proportional to 277,589.50, 416,382.86 and 67,227.44

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Solution

The fourth proportional to 277,589.50, 416,382.86 and 67,227.44 is: 100,840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,589.50 : 416,382.86 = 67,227.44 : x
  2. Step 2: Convert to fraction form
    277,589.50/416,382.86 = 67,227.44/x
  3. Step 3: Cross multiply
    277,589.50x = 416,382.86 × 67,227.44
  4. Step 4: Simplify right side
    277,589.50x = 27,992,353,737.68
  5. Step 5: Solve for x
    x = 27,992,353,737.68/277,589.50
  6. Step 6: Final answer
    x = 100,840.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.