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Finding the Fourth Proportional to 311,911.38, 468,074.67 and 169,792.44

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Solution

The fourth proportional to 311,911.38, 468,074.67 and 169,792.44 is: 254,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,911.38 : 468,074.67 = 169,792.44 : x
  2. Step 2: Convert to fraction form
    311,911.38/468,074.67 = 169,792.44/x
  3. Step 3: Cross multiply
    311,911.38x = 468,074.67 × 169,792.44
  4. Step 4: Simplify right side
    311,911.38x = 79,475,540,321.49
  5. Step 5: Solve for x
    x = 79,475,540,321.49/311,911.38
  6. Step 6: Final answer
    x = 254,801.67

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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.