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Finding the Fourth Proportional to 392,942.80, 588,733.80 and 182,148.40

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Solution

The fourth proportional to 392,942.80, 588,733.80 and 182,148.40 is: 272,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,942.80 : 588,733.80 = 182,148.40 : x
  2. Step 2: Convert to fraction form
    392,942.80/588,733.80 = 182,148.40/x
  3. Step 3: Cross multiply
    392,942.80x = 588,733.80 × 182,148.40
  4. Step 4: Simplify right side
    392,942.80x = 107,236,919,695.92
  5. Step 5: Solve for x
    x = 107,236,919,695.92/392,942.80
  6. Step 6: Final answer
    x = 272,907.20

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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.