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Finding the Fourth Proportional to 274,927.72, 412,325.96 and 200,919.64

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Solution

The fourth proportional to 274,927.72, 412,325.96 and 200,919.64 is: 301,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,927.72 : 412,325.96 = 200,919.64 : x
  2. Step 2: Convert to fraction form
    274,927.72/412,325.96 = 200,919.64/x
  3. Step 3: Cross multiply
    274,927.72x = 412,325.96 × 200,919.64
  4. Step 4: Simplify right side
    274,927.72x = 82,844,383,445.85
  5. Step 5: Solve for x
    x = 82,844,383,445.85/274,927.72
  6. Step 6: Final answer
    x = 301,331.50

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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.