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Finding the Fourth Proportional to 419,136.97, 578,422.07 and 228,163.09

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Solution

The fourth proportional to 419,136.97, 578,422.07 and 228,163.09 is: 314,872.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,136.97 : 578,422.07 = 228,163.09 : x
  2. Step 2: Convert to fraction form
    419,136.97/578,422.07 = 228,163.09/x
  3. Step 3: Cross multiply
    419,136.97x = 578,422.07 × 228,163.09
  4. Step 4: Simplify right side
    419,136.97x = 131,974,566,815.40
  5. Step 5: Solve for x
    x = 131,974,566,815.40/419,136.97
  6. Step 6: Final answer
    x = 314,872.17

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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.