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Finding the Fourth Proportional to 392,302.14, 541,416.81 and 231,209.09

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Solution

The fourth proportional to 392,302.14, 541,416.81 and 231,209.09 is: 319,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,302.14 : 541,416.81 = 231,209.09 : x
  2. Step 2: Convert to fraction form
    392,302.14/541,416.81 = 231,209.09/x
  3. Step 3: Cross multiply
    392,302.14x = 541,416.81 × 231,209.09
  4. Step 4: Simplify right side
    392,302.14x = 125,180,485,243.72
  5. Step 5: Solve for x
    x = 125,180,485,243.72/392,302.14
  6. Step 6: Final answer
    x = 319,092.03

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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.