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Finding the Fourth Proportional to 327,953.43, 491,930.15 and 187,613.64

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Solution

The fourth proportional to 327,953.43, 491,930.15 and 187,613.64 is: 281,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,953.43 : 491,930.15 = 187,613.64 : x
  2. Step 2: Convert to fraction form
    327,953.43/491,930.15 = 187,613.64/x
  3. Step 3: Cross multiply
    327,953.43x = 491,930.15 × 187,613.64
  4. Step 4: Simplify right side
    327,953.43x = 92,292,805,129.18
  5. Step 5: Solve for x
    x = 92,292,805,129.18/327,953.43
  6. Step 6: Final answer
    x = 281,420.46

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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.