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Finding the Fourth Proportional to 300,694.92, 414,954.30 and 164,727.72

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Solution

The fourth proportional to 300,694.92, 414,954.30 and 164,727.72 is: 227,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,694.92 : 414,954.30 = 164,727.72 : x
  2. Step 2: Convert to fraction form
    300,694.92/414,954.30 = 164,727.72/x
  3. Step 3: Cross multiply
    300,694.92x = 414,954.30 × 164,727.72
  4. Step 4: Simplify right side
    300,694.92x = 68,354,475,743.20
  5. Step 5: Solve for x
    x = 68,354,475,743.20/300,694.92
  6. Step 6: Final answer
    x = 227,321.68

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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.