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Finding the Fourth Proportional to 329,713.10, 494,472.45 and 129,967.10

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Solution

The fourth proportional to 329,713.10, 494,472.45 and 129,967.10 is: 194,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,713.10 : 494,472.45 = 129,967.10 : x
  2. Step 2: Convert to fraction form
    329,713.10/494,472.45 = 129,967.10/x
  3. Step 3: Cross multiply
    329,713.10x = 494,472.45 × 129,967.10
  4. Step 4: Simplify right side
    329,713.10x = 64,265,150,356.40
  5. Step 5: Solve for x
    x = 64,265,150,356.40/329,713.10
  6. Step 6: Final answer
    x = 194,912.34

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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.