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Finding the Fourth Proportional to 402,556.80, 603,451.20 and 149,769.60

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Solution

The fourth proportional to 402,556.80, 603,451.20 and 149,769.60 is: 224,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,556.80 : 603,451.20 = 149,769.60 : x
  2. Step 2: Convert to fraction form
    402,556.80/603,451.20 = 149,769.60/x
  3. Step 3: Cross multiply
    402,556.80x = 603,451.20 × 149,769.60
  4. Step 4: Simplify right side
    402,556.80x = 90,378,644,843.52
  5. Step 5: Solve for x
    x = 90,378,644,843.52/402,556.80
  6. Step 6: Final answer
    x = 224,511.53

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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.