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Finding the Fourth Proportional to 295,833.72, 408,286.49 and 166,797.06

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Solution

The fourth proportional to 295,833.72, 408,286.49 and 166,797.06 is: 230,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,833.72 : 408,286.49 = 166,797.06 : x
  2. Step 2: Convert to fraction form
    295,833.72/408,286.49 = 166,797.06/x
  3. Step 3: Cross multiply
    295,833.72x = 408,286.49 × 166,797.06
  4. Step 4: Simplify right side
    295,833.72x = 68,100,986,169.72
  5. Step 5: Solve for x
    x = 68,100,986,169.72/295,833.72
  6. Step 6: Final answer
    x = 230,200.22

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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.