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Finding the Fourth Proportional to 394,516.80, 591,861.60 and 194,932.80

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Solution

The fourth proportional to 394,516.80, 591,861.60 and 194,932.80 is: 292,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,516.80 : 591,861.60 = 194,932.80 : x
  2. Step 2: Convert to fraction form
    394,516.80/591,861.60 = 194,932.80/x
  3. Step 3: Cross multiply
    394,516.80x = 591,861.60 × 194,932.80
  4. Step 4: Simplify right side
    394,516.80x = 115,373,238,900.48
  5. Step 5: Solve for x
    x = 115,373,238,900.48/394,516.80
  6. Step 6: Final answer
    x = 292,441.89

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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.