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Finding the Fourth Proportional to 327,392.49, 491,094.81 and 102,747.90

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Solution

The fourth proportional to 327,392.49, 491,094.81 and 102,747.90 is: 154,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,392.49 : 491,094.81 = 102,747.90 : x
  2. Step 2: Convert to fraction form
    327,392.49/491,094.81 = 102,747.90/x
  3. Step 3: Cross multiply
    327,392.49x = 491,094.81 × 102,747.90
  4. Step 4: Simplify right side
    327,392.49x = 50,458,960,428.40
  5. Step 5: Solve for x
    x = 50,458,960,428.40/327,392.49
  6. Step 6: Final answer
    x = 154,123.76

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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.