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Finding the Fourth Proportional to 306,500.53, 422,964.17 and 177,444.45

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Solution

The fourth proportional to 306,500.53, 422,964.17 and 177,444.45 is: 244,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,500.53 : 422,964.17 = 177,444.45 : x
  2. Step 2: Convert to fraction form
    306,500.53/422,964.17 = 177,444.45/x
  3. Step 3: Cross multiply
    306,500.53x = 422,964.17 × 177,444.45
  4. Step 4: Simplify right side
    306,500.53x = 75,052,644,515.36
  5. Step 5: Solve for x
    x = 75,052,644,515.36/306,500.53
  6. Step 6: Final answer
    x = 244,869.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.