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Finding the Fourth Proportional to 412,515.43, 618,773.65 and 112,998.60

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Solution

The fourth proportional to 412,515.43, 618,773.65 and 112,998.60 is: 169,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,515.43 : 618,773.65 = 112,998.60 : x
  2. Step 2: Convert to fraction form
    412,515.43/618,773.65 = 112,998.60/x
  3. Step 3: Cross multiply
    412,515.43x = 618,773.65 × 112,998.60
  4. Step 4: Simplify right side
    412,515.43x = 69,920,556,166.89
  5. Step 5: Solve for x
    x = 69,920,556,166.89/412,515.43
  6. Step 6: Final answer
    x = 169,498.04

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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.