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Finding the Fourth Proportional to 329,713.44, 494,192.88 and 129,924

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Solution

The fourth proportional to 329,713.44, 494,192.88 and 129,924 is: 194,737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,713.44 : 494,192.88 = 129,924 : x
  2. Step 2: Convert to fraction form
    329,713.44/494,192.88 = 129,924/x
  3. Step 3: Cross multiply
    329,713.44x = 494,192.88 × 129,924
  4. Step 4: Simplify right side
    329,713.44x = 64,207,515,741.12
  5. Step 5: Solve for x
    x = 64,207,515,741.12/329,713.44
  6. Step 6: Final answer
    x = 194,737.33

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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.