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Finding the Fourth Proportional to 299,757.27, 413,660.03 and 163,788.24

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Solution

The fourth proportional to 299,757.27, 413,660.03 and 163,788.24 is: 226,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,757.27 : 413,660.03 = 163,788.24 : x
  2. Step 2: Convert to fraction form
    299,757.27/413,660.03 = 163,788.24/x
  3. Step 3: Cross multiply
    299,757.27x = 413,660.03 × 163,788.24
  4. Step 4: Simplify right side
    299,757.27x = 67,752,647,453.11
  5. Step 5: Solve for x
    x = 67,752,647,453.11/299,757.27
  6. Step 6: Final answer
    x = 226,025.04

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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.