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Finding the Fourth Proportional to 300,481.64, 414,648.23 and 164,489.27

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Solution

The fourth proportional to 300,481.64, 414,648.23 and 164,489.27 is: 226,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,481.64 : 414,648.23 = 164,489.27 : x
  2. Step 2: Convert to fraction form
    300,481.64/414,648.23 = 164,489.27/x
  3. Step 3: Cross multiply
    300,481.64x = 414,648.23 × 164,489.27
  4. Step 4: Simplify right side
    300,481.64x = 68,205,183,837.05
  5. Step 5: Solve for x
    x = 68,205,183,837.05/300,481.64
  6. Step 6: Final answer
    x = 226,986.20

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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.