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Finding the Fourth Proportional to 327,578.82, 491,370.95 and 102,934.27

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Solution

The fourth proportional to 327,578.82, 491,370.95 and 102,934.27 is: 154,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,578.82 : 491,370.95 = 102,934.27 : x
  2. Step 2: Convert to fraction form
    327,578.82/491,370.95 = 102,934.27/x
  3. Step 3: Cross multiply
    327,578.82x = 491,370.95 × 102,934.27
  4. Step 4: Simplify right side
    327,578.82x = 50,578,910,037.46
  5. Step 5: Solve for x
    x = 50,578,910,037.46/327,578.82
  6. Step 6: Final answer
    x = 154,402.26

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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.