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Finding the Fourth Proportional to 234,287.73, 323,075.43 and 200,408.38

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Solution

The fourth proportional to 234,287.73, 323,075.43 and 200,408.38 is: 276,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,287.73 : 323,075.43 = 200,408.38 : x
  2. Step 2: Convert to fraction form
    234,287.73/323,075.43 = 200,408.38/x
  3. Step 3: Cross multiply
    234,287.73x = 323,075.43 × 200,408.38
  4. Step 4: Simplify right side
    234,287.73x = 64,747,022,736.41
  5. Step 5: Solve for x
    x = 64,747,022,736.41/234,287.73
  6. Step 6: Final answer
    x = 276,356.87

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Why These Related Problems?

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