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Finding the Fourth Proportional to 311,722.73, 467,416.41 and 161,590.85

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Solution

The fourth proportional to 311,722.73, 467,416.41 and 161,590.85 is: 242,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,722.73 : 467,416.41 = 161,590.85 : x
  2. Step 2: Convert to fraction form
    311,722.73/467,416.41 = 161,590.85/x
  3. Step 3: Cross multiply
    311,722.73x = 467,416.41 × 161,590.85
  4. Step 4: Simplify right side
    311,722.73x = 75,530,212,658.77
  5. Step 5: Solve for x
    x = 75,530,212,658.77/311,722.73
  6. Step 6: Final answer
    x = 242,299.35

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1.5x scale

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.