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Finding the Fourth Proportional to 324,104.64, 447,286.80 and 180,892.56

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Solution

The fourth proportional to 324,104.64, 447,286.80 and 180,892.56 is: 249,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,104.64 : 447,286.80 = 180,892.56 : x
  2. Step 2: Convert to fraction form
    324,104.64/447,286.80 = 180,892.56/x
  3. Step 3: Cross multiply
    324,104.64x = 447,286.80 × 180,892.56
  4. Step 4: Simplify right side
    324,104.64x = 80,910,854,306.21
  5. Step 5: Solve for x
    x = 80,910,854,306.21/324,104.64
  6. Step 6: Final answer
    x = 249,644.23

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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.