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Finding the Fourth Proportional to 394,668.92, 591,257.28 and 194,755.16

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Solution

The fourth proportional to 394,668.92, 591,257.28 and 194,755.16 is: 291,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,668.92 : 591,257.28 = 194,755.16 : x
  2. Step 2: Convert to fraction form
    394,668.92/591,257.28 = 194,755.16/x
  3. Step 3: Cross multiply
    394,668.92x = 591,257.28 × 194,755.16
  4. Step 4: Simplify right side
    394,668.92x = 115,150,406,167.57
  5. Step 5: Solve for x
    x = 115,150,406,167.57/394,668.92
  6. Step 6: Final answer
    x = 291,764.57

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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.