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Finding the Fourth Proportional to 412,531.26, 618,797.38 and 113,014.42

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Solution

The fourth proportional to 412,531.26, 618,797.38 and 113,014.42 is: 169,521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,531.26 : 618,797.38 = 113,014.42 : x
  2. Step 2: Convert to fraction form
    412,531.26/618,797.38 = 113,014.42/x
  3. Step 3: Cross multiply
    412,531.26x = 618,797.38 × 113,014.42
  4. Step 4: Simplify right side
    412,531.26x = 69,933,026,998.22
  5. Step 5: Solve for x
    x = 69,933,026,998.22/412,531.26
  6. Step 6: Final answer
    x = 169,521.76

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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.