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Finding the Fourth Proportional to 512,676.64, 769,033.42 and 192,799.18

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Solution

The fourth proportional to 512,676.64, 769,033.42 and 192,799.18 is: 289,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,676.64 : 769,033.42 = 192,799.18 : x
  2. Step 2: Convert to fraction form
    512,676.64/769,033.42 = 192,799.18/x
  3. Step 3: Cross multiply
    512,676.64x = 769,033.42 × 192,799.18
  4. Step 4: Simplify right side
    512,676.64x = 148,269,012,768.60
  5. Step 5: Solve for x
    x = 148,269,012,768.60/512,676.64
  6. Step 6: Final answer
    x = 289,205.71

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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.