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Finding the Fourth Proportional to 300,517.97, 414,725.94 and 171,477.42

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Solution

The fourth proportional to 300,517.97, 414,725.94 and 171,477.42 is: 236,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,517.97 : 414,725.94 = 171,477.42 : x
  2. Step 2: Convert to fraction form
    300,517.97/414,725.94 = 171,477.42/x
  3. Step 3: Cross multiply
    300,517.97x = 414,725.94 × 171,477.42
  4. Step 4: Simplify right side
    300,517.97x = 71,116,134,198.27
  5. Step 5: Solve for x
    x = 71,116,134,198.27/300,517.97
  6. Step 6: Final answer
    x = 236,645.20

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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.