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Finding the Fourth Proportional to 331,651.85, 457,847.79 and 195,727.07

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Solution

The fourth proportional to 331,651.85, 457,847.79 and 195,727.07 is: 270,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,651.85 : 457,847.79 = 195,727.07 : x
  2. Step 2: Convert to fraction form
    331,651.85/457,847.79 = 195,727.07/x
  3. Step 3: Cross multiply
    331,651.85x = 457,847.79 × 195,727.07
  4. Step 4: Simplify right side
    331,651.85x = 89,613,204,153.44
  5. Step 5: Solve for x
    x = 89,613,204,153.44/331,651.85
  6. Step 6: Final answer
    x = 270,202.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.