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Finding the Fourth Proportional to 300,660.38, 414,893.61 and 164,667.25

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Solution

The fourth proportional to 300,660.38, 414,893.61 and 164,667.25 is: 227,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,660.38 : 414,893.61 = 164,667.25 : x
  2. Step 2: Convert to fraction form
    300,660.38/414,893.61 = 164,667.25/x
  3. Step 3: Cross multiply
    300,660.38x = 414,893.61 × 164,667.25
  4. Step 4: Simplify right side
    300,660.38x = 68,319,389,801.27
  5. Step 5: Solve for x
    x = 68,319,389,801.27/300,660.38
  6. Step 6: Final answer
    x = 227,231.10

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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.