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Finding the Fourth Proportional to 327,532.32, 491,270.25 and 199,415.40

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Solution

The fourth proportional to 327,532.32, 491,270.25 and 199,415.40 is: 299,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,532.32 : 491,270.25 = 199,415.40 : x
  2. Step 2: Convert to fraction form
    327,532.32/491,270.25 = 199,415.40/x
  3. Step 3: Cross multiply
    327,532.32x = 491,270.25 × 199,415.40
  4. Step 4: Simplify right side
    327,532.32x = 97,966,853,411.85
  5. Step 5: Solve for x
    x = 97,966,853,411.85/327,532.32
  6. Step 6: Final answer
    x = 299,105.91

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