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Finding the Fourth Proportional to 300,226.97, 414,272.30 and 179,342.59

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Solution

The fourth proportional to 300,226.97, 414,272.30 and 179,342.59 is: 247,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,226.97 : 414,272.30 = 179,342.59 : x
  2. Step 2: Convert to fraction form
    300,226.97/414,272.30 = 179,342.59/x
  3. Step 3: Cross multiply
    300,226.97x = 414,272.30 × 179,342.59
  4. Step 4: Simplify right side
    300,226.97x = 74,296,667,610.40
  5. Step 5: Solve for x
    x = 74,296,667,610.40/300,226.97
  6. Step 6: Final answer
    x = 247,468.33

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1.5x scale

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.