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Finding the Fourth Proportional to 392,704.40, 541,776.12 and 227,101.76

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Solution

The fourth proportional to 392,704.40, 541,776.12 and 227,101.76 is: 313,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,704.40 : 541,776.12 = 227,101.76 : x
  2. Step 2: Convert to fraction form
    392,704.40/541,776.12 = 227,101.76/x
  3. Step 3: Cross multiply
    392,704.40x = 541,776.12 × 227,101.76
  4. Step 4: Simplify right side
    392,704.40x = 123,038,310,377.97
  5. Step 5: Solve for x
    x = 123,038,310,377.97/392,704.40
  6. Step 6: Final answer
    x = 313,310.24

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