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Finding the Fourth Proportional to 274,437.53, 410,991.90 and 189,961.01

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Solution

The fourth proportional to 274,437.53, 410,991.90 and 189,961.01 is: 284,481.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,437.53 : 410,991.90 = 189,961.01 : x
  2. Step 2: Convert to fraction form
    274,437.53/410,991.90 = 189,961.01/x
  3. Step 3: Cross multiply
    274,437.53x = 410,991.90 × 189,961.01
  4. Step 4: Simplify right side
    274,437.53x = 78,072,434,370.86
  5. Step 5: Solve for x
    x = 78,072,434,370.86/274,437.53
  6. Step 6: Final answer
    x = 284,481.63

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Why These Related Problems?

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