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Finding the Fourth Proportional to 412,342.74, 618,530.45 and 196,149.54

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Solution

The fourth proportional to 412,342.74, 618,530.45 and 196,149.54 is: 294,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,342.74 : 618,530.45 = 196,149.54 : x
  2. Step 2: Convert to fraction form
    412,342.74/618,530.45 = 196,149.54/x
  3. Step 3: Cross multiply
    412,342.74x = 618,530.45 × 196,149.54
  4. Step 4: Simplify right side
    412,342.74x = 121,324,463,243.49
  5. Step 5: Solve for x
    x = 121,324,463,243.49/412,342.74
  6. Step 6: Final answer
    x = 294,232.08

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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.