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Finding the Fourth Proportional to 428,063.38, 642,101.36 and 203,446.73

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Solution

The fourth proportional to 428,063.38, 642,101.36 and 203,446.73 is: 305,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,063.38 : 642,101.36 = 203,446.73 : x
  2. Step 2: Convert to fraction form
    428,063.38/642,101.36 = 203,446.73/x
  3. Step 3: Cross multiply
    428,063.38x = 642,101.36 × 203,446.73
  4. Step 4: Simplify right side
    428,063.38x = 130,633,422,608.57
  5. Step 5: Solve for x
    x = 130,633,422,608.57/428,063.38
  6. Step 6: Final answer
    x = 305,173.09

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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.