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Finding the Fourth Proportional to 327,362.69, 491,064.79 and 102,731.98

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Solution

The fourth proportional to 327,362.69, 491,064.79 and 102,731.98 is: 154,104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,362.69 : 491,064.79 = 102,731.98 : x
  2. Step 2: Convert to fraction form
    327,362.69/491,064.79 = 102,731.98/x
  3. Step 3: Cross multiply
    327,362.69x = 491,064.79 × 102,731.98
  4. Step 4: Simplify right side
    327,362.69x = 50,448,058,184.98
  5. Step 5: Solve for x
    x = 50,448,058,184.98/327,362.69
  6. Step 6: Final answer
    x = 154,104.48

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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.