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Finding the Fourth Proportional to 264,912.40, 396,785.40 and 229,920.40

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Solution

The fourth proportional to 264,912.40, 396,785.40 and 229,920.40 is: 344,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,912.40 : 396,785.40 = 229,920.40 : x
  2. Step 2: Convert to fraction form
    264,912.40/396,785.40 = 229,920.40/x
  3. Step 3: Cross multiply
    264,912.40x = 396,785.40 × 229,920.40
  4. Step 4: Simplify right side
    264,912.40x = 91,229,057,882.16
  5. Step 5: Solve for x
    x = 91,229,057,882.16/264,912.40
  6. Step 6: Final answer
    x = 344,374.43

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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.