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Finding the Fourth Proportional to 392,519.40, 588,385.40 and 182,304.96

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Solution

The fourth proportional to 392,519.40, 588,385.40 and 182,304.96 is: 273,274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,519.40 : 588,385.40 = 182,304.96 : x
  2. Step 2: Convert to fraction form
    392,519.40/588,385.40 = 182,304.96/x
  3. Step 3: Cross multiply
    392,519.40x = 588,385.40 × 182,304.96
  4. Step 4: Simplify right side
    392,519.40x = 107,265,576,811.58
  5. Step 5: Solve for x
    x = 107,265,576,811.58/392,519.40
  6. Step 6: Final answer
    x = 273,274.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.