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Finding the Fourth Proportional to 336,954.60, 464,942.43 and 199,114.38

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Solution

The fourth proportional to 336,954.60, 464,942.43 and 199,114.38 is: 274,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,954.60 : 464,942.43 = 199,114.38 : x
  2. Step 2: Convert to fraction form
    336,954.60/464,942.43 = 199,114.38/x
  3. Step 3: Cross multiply
    336,954.60x = 464,942.43 × 199,114.38
  4. Step 4: Simplify right side
    336,954.60x = 92,576,723,685.14
  5. Step 5: Solve for x
    x = 92,576,723,685.14/336,954.60
  6. Step 6: Final answer
    x = 274,745.39

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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.