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Finding the Fourth Proportional to 412,531.77, 618,798.20 and 113,014.97

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Solution

The fourth proportional to 412,531.77, 618,798.20 and 113,014.97 is: 169,522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,531.77 : 618,798.20 = 113,014.97 : x
  2. Step 2: Convert to fraction form
    412,531.77/618,798.20 = 113,014.97/x
  3. Step 3: Cross multiply
    412,531.77x = 618,798.20 × 113,014.97
  4. Step 4: Simplify right side
    412,531.77x = 69,933,456,349.99
  5. Step 5: Solve for x
    x = 69,933,456,349.99/412,531.77
  6. Step 6: Final answer
    x = 169,522.60

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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.