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Finding the Fourth Proportional to 472,723.25, 708,494.31 and 303,793.97

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Solution

The fourth proportional to 472,723.25, 708,494.31 and 303,793.97 is: 455,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,723.25 : 708,494.31 = 303,793.97 : x
  2. Step 2: Convert to fraction form
    472,723.25/708,494.31 = 303,793.97/x
  3. Step 3: Cross multiply
    472,723.25x = 708,494.31 × 303,793.97
  4. Step 4: Simplify right side
    472,723.25x = 215,236,295,614.84
  5. Step 5: Solve for x
    x = 215,236,295,614.84/472,723.25
  6. Step 6: Final answer
    x = 455,311.43

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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.