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Finding the Fourth Proportional to 367,761.75, 507,517.88 and 204,433.53

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Solution

The fourth proportional to 367,761.75, 507,517.88 and 204,433.53 is: 282,121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,761.75 : 507,517.88 = 204,433.53 : x
  2. Step 2: Convert to fraction form
    367,761.75/507,517.88 = 204,433.53/x
  3. Step 3: Cross multiply
    367,761.75x = 507,517.88 × 204,433.53
  4. Step 4: Simplify right side
    367,761.75x = 103,753,670,724.35
  5. Step 5: Solve for x
    x = 103,753,670,724.35/367,761.75
  6. Step 6: Final answer
    x = 282,121.97

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Why These Related Problems?

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