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Finding the Fourth Proportional to 308,198.17, 462,297.43 and 202,252.38

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Solution

The fourth proportional to 308,198.17, 462,297.43 and 202,252.38 is: 303,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,198.17 : 462,297.43 = 202,252.38 : x
  2. Step 2: Convert to fraction form
    308,198.17/462,297.43 = 202,252.38/x
  3. Step 3: Cross multiply
    308,198.17x = 462,297.43 × 202,252.38
  4. Step 4: Simplify right side
    308,198.17x = 93,500,752,866.91
  5. Step 5: Solve for x
    x = 93,500,752,866.91/308,198.17
  6. Step 6: Final answer
    x = 303,378.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.