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Finding the Fourth Proportional to 392,912.88, 542,047.32 and 265,542

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Solution

The fourth proportional to 392,912.88, 542,047.32 and 265,542 is: 366,331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,912.88 : 542,047.32 = 265,542 : x
  2. Step 2: Convert to fraction form
    392,912.88/542,047.32 = 265,542/x
  3. Step 3: Cross multiply
    392,912.88x = 542,047.32 × 265,542
  4. Step 4: Simplify right side
    392,912.88x = 143,936,329,447.44
  5. Step 5: Solve for x
    x = 143,936,329,447.44/392,912.88
  6. Step 6: Final answer
    x = 366,331.41

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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.