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Finding the Fourth Proportional to 322,105.28, 444,496.80 and 178,861.64

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Solution

The fourth proportional to 322,105.28, 444,496.80 and 178,861.64 is: 246,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,105.28 : 444,496.80 = 178,861.64 : x
  2. Step 2: Convert to fraction form
    322,105.28/444,496.80 = 178,861.64/x
  3. Step 3: Cross multiply
    322,105.28x = 444,496.80 × 178,861.64
  4. Step 4: Simplify right side
    322,105.28x = 79,503,426,622.75
  5. Step 5: Solve for x
    x = 79,503,426,622.75/322,105.28
  6. Step 6: Final answer
    x = 246,824.35

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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.