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Finding the Fourth Proportional to 398,182.60, 597,272.82 and 327,913.48

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Solution

The fourth proportional to 398,182.60, 597,272.82 and 327,913.48 is: 491,869.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,182.60 : 597,272.82 = 327,913.48 : x
  2. Step 2: Convert to fraction form
    398,182.60/597,272.82 = 327,913.48/x
  3. Step 3: Cross multiply
    398,182.60x = 597,272.82 × 327,913.48
  4. Step 4: Simplify right side
    398,182.60x = 195,853,808,915.61
  5. Step 5: Solve for x
    x = 195,853,808,915.61/398,182.60
  6. Step 6: Final answer
    x = 491,869.33

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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.