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Finding the Fourth Proportional to 329,517.82, 494,315.13 and 119,254.78

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Solution

The fourth proportional to 329,517.82, 494,315.13 and 119,254.78 is: 178,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,517.82 : 494,315.13 = 119,254.78 : x
  2. Step 2: Convert to fraction form
    329,517.82/494,315.13 = 119,254.78/x
  3. Step 3: Cross multiply
    329,517.82x = 494,315.13 × 119,254.78
  4. Step 4: Simplify right side
    329,517.82x = 58,949,442,078.82
  5. Step 5: Solve for x
    x = 58,949,442,078.82/329,517.82
  6. Step 6: Final answer
    x = 178,896.07

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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.