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Finding the Fourth Proportional to 324,917.92, 487,198.44 and 100,216

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Solution

The fourth proportional to 324,917.92, 487,198.44 and 100,216 is: 150,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,917.92 : 487,198.44 = 100,216 : x
  2. Step 2: Convert to fraction form
    324,917.92/487,198.44 = 100,216/x
  3. Step 3: Cross multiply
    324,917.92x = 487,198.44 × 100,216
  4. Step 4: Simplify right side
    324,917.92x = 48,825,078,863.04
  5. Step 5: Solve for x
    x = 48,825,078,863.04/324,917.92
  6. Step 6: Final answer
    x = 150,268.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.