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Finding the Fourth Proportional to 329,635.85, 494,472.92 and 127,233.11

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Solution

The fourth proportional to 329,635.85, 494,472.92 and 127,233.11 is: 190,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,635.85 : 494,472.92 = 127,233.11 : x
  2. Step 2: Convert to fraction form
    329,635.85/494,472.92 = 127,233.11/x
  3. Step 3: Cross multiply
    329,635.85x = 494,472.92 × 127,233.11
  4. Step 4: Simplify right side
    329,635.85x = 62,913,324,790.98
  5. Step 5: Solve for x
    x = 62,913,324,790.98/329,635.85
  6. Step 6: Final answer
    x = 190,857.05

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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.