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Finding the Fourth Proportional to 494,469.80, 741,380.70 and 194,769.80

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Solution

The fourth proportional to 494,469.80, 741,380.70 and 194,769.80 is: 292,027.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,469.80 : 741,380.70 = 194,769.80 : x
  2. Step 2: Convert to fraction form
    494,469.80/741,380.70 = 194,769.80/x
  3. Step 3: Cross multiply
    494,469.80x = 741,380.70 × 194,769.80
  4. Step 4: Simplify right side
    494,469.80x = 144,398,570,662.86
  5. Step 5: Solve for x
    x = 144,398,570,662.86/494,469.80
  6. Step 6: Final answer
    x = 292,027.08

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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.