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Finding the Fourth Proportional to 412,515.25, 618,773.37 and 112,998.41

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Solution

The fourth proportional to 412,515.25, 618,773.37 and 112,998.41 is: 169,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,515.25 : 618,773.37 = 112,998.41 : x
  2. Step 2: Convert to fraction form
    412,515.25/618,773.37 = 112,998.41/x
  3. Step 3: Cross multiply
    412,515.25x = 618,773.37 × 112,998.41
  4. Step 4: Simplify right side
    412,515.25x = 69,920,407,942.28
  5. Step 5: Solve for x
    x = 69,920,407,942.28/412,515.25
  6. Step 6: Final answer
    x = 169,497.75

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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.