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Finding the Fourth Proportional to 339,670.26, 468,734.83 and 194,471.24

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Solution

The fourth proportional to 339,670.26, 468,734.83 and 194,471.24 is: 268,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,670.26 : 468,734.83 = 194,471.24 : x
  2. Step 2: Convert to fraction form
    339,670.26/468,734.83 = 194,471.24/x
  3. Step 3: Cross multiply
    339,670.26x = 468,734.83 × 194,471.24
  4. Step 4: Simplify right side
    339,670.26x = 91,155,440,791.44
  5. Step 5: Solve for x
    x = 91,155,440,791.44/339,670.26
  6. Step 6: Final answer
    x = 268,364.50

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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.