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Finding the Fourth Proportional to 412,343.74, 618,531.95 and 196,150.54

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Solution

The fourth proportional to 412,343.74, 618,531.95 and 196,150.54 is: 294,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,343.74 : 618,531.95 = 196,150.54 : x
  2. Step 2: Convert to fraction form
    412,343.74/618,531.95 = 196,150.54/x
  3. Step 3: Cross multiply
    412,343.74x = 618,531.95 × 196,150.54
  4. Step 4: Simplify right side
    412,343.74x = 121,325,375,999.75
  5. Step 5: Solve for x
    x = 121,325,375,999.75/412,343.74
  6. Step 6: Final answer
    x = 294,233.58

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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.