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Finding the Fourth Proportional to 306,297.23, 422,628.24 and 178,948.22

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Solution

The fourth proportional to 306,297.23, 422,628.24 and 178,948.22 is: 246,912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,297.23 : 422,628.24 = 178,948.22 : x
  2. Step 2: Convert to fraction form
    306,297.23/422,628.24 = 178,948.22/x
  3. Step 3: Cross multiply
    306,297.23x = 422,628.24 × 178,948.22
  4. Step 4: Simplify right side
    306,297.23x = 75,628,571,269.73
  5. Step 5: Solve for x
    x = 75,628,571,269.73/306,297.23
  6. Step 6: Final answer
    x = 246,912.36

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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.