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Finding the Fourth Proportional to 428,236.20, 590,942.68 and 237,238.20

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Solution

The fourth proportional to 428,236.20, 590,942.68 and 237,238.20 is: 327,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,236.20 : 590,942.68 = 237,238.20 : x
  2. Step 2: Convert to fraction form
    428,236.20/590,942.68 = 237,238.20/x
  3. Step 3: Cross multiply
    428,236.20x = 590,942.68 × 237,238.20
  4. Step 4: Simplify right side
    428,236.20x = 140,194,177,706.38
  5. Step 5: Solve for x
    x = 140,194,177,706.38/428,236.20
  6. Step 6: Final answer
    x = 327,375.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.