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Finding the Fourth Proportional to 274,863.38, 411,821.69 and 214,868.48

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Solution

The fourth proportional to 274,863.38, 411,821.69 and 214,868.48 is: 321,932.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,863.38 : 411,821.69 = 214,868.48 : x
  2. Step 2: Convert to fraction form
    274,863.38/411,821.69 = 214,868.48/x
  3. Step 3: Cross multiply
    274,863.38x = 411,821.69 × 214,868.48
  4. Step 4: Simplify right side
    274,863.38x = 88,487,497,427.88
  5. Step 5: Solve for x
    x = 88,487,497,427.88/274,863.38
  6. Step 6: Final answer
    x = 321,932.66

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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.