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Finding the Fourth Proportional to 306,376.71, 422,786.22 and 177,294.51

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Solution

The fourth proportional to 306,376.71, 422,786.22 and 177,294.51 is: 244,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,376.71 : 422,786.22 = 177,294.51 : x
  2. Step 2: Convert to fraction form
    306,376.71/422,786.22 = 177,294.51/x
  3. Step 3: Cross multiply
    306,376.71x = 422,786.22 × 177,294.51
  4. Step 4: Simplify right side
    306,376.71x = 74,957,675,709.65
  5. Step 5: Solve for x
    x = 74,957,675,709.65/306,376.71
  6. Step 6: Final answer
    x = 244,658.53

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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.