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Finding the Fourth Proportional to 327,476.67, 491,186.86 and 199,359.70

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Solution

The fourth proportional to 327,476.67, 491,186.86 and 199,359.70 is: 299,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,476.67 : 491,186.86 = 199,359.70 : x
  2. Step 2: Convert to fraction form
    327,476.67/491,186.86 = 199,359.70/x
  3. Step 3: Cross multiply
    327,476.67x = 491,186.86 × 199,359.70
  4. Step 4: Simplify right side
    327,476.67x = 97,922,865,369.55
  5. Step 5: Solve for x
    x = 97,922,865,369.55/327,476.67
  6. Step 6: Final answer
    x = 299,022.42

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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.