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Finding the Fourth Proportional to 472,162.05, 708,380.97 and 152,306.85

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Solution

The fourth proportional to 472,162.05, 708,380.97 and 152,306.85 is: 228,504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,162.05 : 708,380.97 = 152,306.85 : x
  2. Step 2: Convert to fraction form
    472,162.05/708,380.97 = 152,306.85/x
  3. Step 3: Cross multiply
    472,162.05x = 708,380.97 × 152,306.85
  4. Step 4: Simplify right side
    472,162.05x = 107,891,274,140.65
  5. Step 5: Solve for x
    x = 107,891,274,140.65/472,162.05
  6. Step 6: Final answer
    x = 228,504.76

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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.