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Finding the Fourth Proportional to 392,916.88, 542,290.80 and 231,811.84

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Solution

The fourth proportional to 392,916.88, 542,290.80 and 231,811.84 is: 319,938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,916.88 : 542,290.80 = 231,811.84 : x
  2. Step 2: Convert to fraction form
    392,916.88/542,290.80 = 231,811.84/x
  3. Step 3: Cross multiply
    392,916.88x = 542,290.80 × 231,811.84
  4. Step 4: Simplify right side
    392,916.88x = 125,709,428,163.07
  5. Step 5: Solve for x
    x = 125,709,428,163.07/392,916.88
  6. Step 6: Final answer
    x = 319,938.99

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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.