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Finding the Fourth Proportional to 270,852.80, 406,279.20 and 203,930.60

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Solution

The fourth proportional to 270,852.80, 406,279.20 and 203,930.60 is: 305,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,852.80 : 406,279.20 = 203,930.60 : x
  2. Step 2: Convert to fraction form
    270,852.80/406,279.20 = 203,930.60/x
  3. Step 3: Cross multiply
    270,852.80x = 406,279.20 × 203,930.60
  4. Step 4: Simplify right side
    270,852.80x = 82,852,761,023.52
  5. Step 5: Solve for x
    x = 82,852,761,023.52/270,852.80
  6. Step 6: Final answer
    x = 305,895.90

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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.