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Finding the Fourth Proportional to 262,635.48, 394,150.32 and 186,724.44

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Solution

The fourth proportional to 262,635.48, 394,150.32 and 186,724.44 is: 280,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,635.48 : 394,150.32 = 186,724.44 : x
  2. Step 2: Convert to fraction form
    262,635.48/394,150.32 = 186,724.44/x
  3. Step 3: Cross multiply
    262,635.48x = 394,150.32 × 186,724.44
  4. Step 4: Simplify right side
    262,635.48x = 73,597,497,777.82
  5. Step 5: Solve for x
    x = 73,597,497,777.82/262,635.48
  6. Step 6: Final answer
    x = 280,226.79

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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.