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Finding the Fourth Proportional to 296,049.33, 408,523.39 and 166,980.69

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Solution

The fourth proportional to 296,049.33, 408,523.39 and 166,980.69 is: 230,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,049.33 : 408,523.39 = 166,980.69 : x
  2. Step 2: Convert to fraction form
    296,049.33/408,523.39 = 166,980.69/x
  3. Step 3: Cross multiply
    296,049.33x = 408,523.39 × 166,980.69
  4. Step 4: Simplify right side
    296,049.33x = 68,215,517,543.34
  5. Step 5: Solve for x
    x = 68,215,517,543.34/296,049.33
  6. Step 6: Final answer
    x = 230,419.43

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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.