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Finding the Fourth Proportional to 311,857.10, 467,792.94 and 101,511.44

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Solution

The fourth proportional to 311,857.10, 467,792.94 and 101,511.44 is: 152,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,857.10 : 467,792.94 = 101,511.44 : x
  2. Step 2: Convert to fraction form
    311,857.10/467,792.94 = 101,511.44/x
  3. Step 3: Cross multiply
    311,857.10x = 467,792.94 × 101,511.44
  4. Step 4: Simplify right side
    311,857.10x = 47,486,332,622.27
  5. Step 5: Solve for x
    x = 47,486,332,622.27/311,857.10
  6. Step 6: Final answer
    x = 152,269.53

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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.