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Finding the Fourth Proportional to 265,175.84, 397,238.87 and 231,933.44

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Solution

The fourth proportional to 265,175.84, 397,238.87 and 231,933.44 is: 347,441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,175.84 : 397,238.87 = 231,933.44 : x
  2. Step 2: Convert to fraction form
    265,175.84/397,238.87 = 231,933.44/x
  3. Step 3: Cross multiply
    265,175.84x = 397,238.87 × 231,933.44
  4. Step 4: Simplify right side
    265,175.84x = 92,132,974,474.95
  5. Step 5: Solve for x
    x = 92,132,974,474.95/265,175.84
  6. Step 6: Final answer
    x = 347,441.06

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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.