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Finding the Fourth Proportional to 494,470.88, 741,206.08 and 194,834.96

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Solution

The fourth proportional to 494,470.88, 741,206.08 and 194,834.96 is: 292,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,470.88 : 741,206.08 = 194,834.96 : x
  2. Step 2: Convert to fraction form
    494,470.88/741,206.08 = 194,834.96/x
  3. Step 3: Cross multiply
    494,470.88x = 741,206.08 × 194,834.96
  4. Step 4: Simplify right side
    494,470.88x = 144,412,856,948.56
  5. Step 5: Solve for x
    x = 144,412,856,948.56/494,470.88
  6. Step 6: Final answer
    x = 292,055.33

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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.