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Finding the Fourth Proportional to 412,723.20, 618,600.96 and 190,640.64

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Solution

The fourth proportional to 412,723.20, 618,600.96 and 190,640.64 is: 285,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,723.20 : 618,600.96 = 190,640.64 : x
  2. Step 2: Convert to fraction form
    412,723.20/618,600.96 = 190,640.64/x
  3. Step 3: Cross multiply
    412,723.20x = 618,600.96 × 190,640.64
  4. Step 4: Simplify right side
    412,723.20x = 117,930,482,919.01
  5. Step 5: Solve for x
    x = 117,930,482,919.01/412,723.20
  6. Step 6: Final answer
    x = 285,737.47

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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.