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Finding the Fourth Proportional to 382,122.87, 527,869.22 and 306,146.49

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Solution

The fourth proportional to 382,122.87, 527,869.22 and 306,146.49 is: 422,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,122.87 : 527,869.22 = 306,146.49 : x
  2. Step 2: Convert to fraction form
    382,122.87/527,869.22 = 306,146.49/x
  3. Step 3: Cross multiply
    382,122.87x = 527,869.22 × 306,146.49
  4. Step 4: Simplify right side
    382,122.87x = 161,605,307,351.31
  5. Step 5: Solve for x
    x = 161,605,307,351.31/382,122.87
  6. Step 6: Final answer
    x = 422,914.51

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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.