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Finding the Fourth Proportional to 324,217.84, 486,322.56 and 84,310.48

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Solution

The fourth proportional to 324,217.84, 486,322.56 and 84,310.48 is: 126,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,217.84 : 486,322.56 = 84,310.48 : x
  2. Step 2: Convert to fraction form
    324,217.84/486,322.56 = 84,310.48/x
  3. Step 3: Cross multiply
    324,217.84x = 486,322.56 × 84,310.48
  4. Step 4: Simplify right side
    324,217.84x = 41,002,088,468.43
  5. Step 5: Solve for x
    x = 41,002,088,468.43/324,217.84
  6. Step 6: Final answer
    x = 126,464.63

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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.