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Finding the Fourth Proportional to 424,257.80, 635,534.53 and 196,233.97

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Solution

The fourth proportional to 424,257.80, 635,534.53 and 196,233.97 is: 293,956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,257.80 : 635,534.53 = 196,233.97 : x
  2. Step 2: Convert to fraction form
    424,257.80/635,534.53 = 196,233.97/x
  3. Step 3: Cross multiply
    424,257.80x = 635,534.53 × 196,233.97
  4. Step 4: Simplify right side
    424,257.80x = 124,713,461,770.66
  5. Step 5: Solve for x
    x = 124,713,461,770.66/424,257.80
  6. Step 6: Final answer
    x = 293,956.79

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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.