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Finding the Fourth Proportional to 357,092.38, 492,770.90 and 195,943.42

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Solution

The fourth proportional to 357,092.38, 492,770.90 and 195,943.42 is: 270,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,092.38 : 492,770.90 = 195,943.42 : x
  2. Step 2: Convert to fraction form
    357,092.38/492,770.90 = 195,943.42/x
  3. Step 3: Cross multiply
    357,092.38x = 492,770.90 × 195,943.42
  4. Step 4: Simplify right side
    357,092.38x = 96,555,215,422.48
  5. Step 5: Solve for x
    x = 96,555,215,422.48/357,092.38
  6. Step 6: Final answer
    x = 270,392.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.