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Finding the Fourth Proportional to 551,203.20, 826,610.40 and 196,228.80

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Solution

The fourth proportional to 551,203.20, 826,610.40 and 196,228.80 is: 294,273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,203.20 : 826,610.40 = 196,228.80 : x
  2. Step 2: Convert to fraction form
    551,203.20/826,610.40 = 196,228.80/x
  3. Step 3: Cross multiply
    551,203.20x = 826,610.40 × 196,228.80
  4. Step 4: Simplify right side
    551,203.20x = 162,204,766,859.52
  5. Step 5: Solve for x
    x = 162,204,766,859.52/551,203.20
  6. Step 6: Final answer
    x = 294,273.99

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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.