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Finding the Fourth Proportional to 394,085.39, 591,211.14 and 127,825.19

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Solution

The fourth proportional to 394,085.39, 591,211.14 and 127,825.19 is: 191,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,085.39 : 591,211.14 = 127,825.19 : x
  2. Step 2: Convert to fraction form
    394,085.39/591,211.14 = 127,825.19/x
  3. Step 3: Cross multiply
    394,085.39x = 591,211.14 × 127,825.19
  4. Step 4: Simplify right side
    394,085.39x = 75,571,675,082.26
  5. Step 5: Solve for x
    x = 75,571,675,082.26/394,085.39
  6. Step 6: Final answer
    x = 191,764.72

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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.