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Finding the Fourth Proportional to 263,940.68, 364,379.46 and 206,457.86

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Solution

The fourth proportional to 263,940.68, 364,379.46 and 206,457.86 is: 285,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,940.68 : 364,379.46 = 206,457.86 : x
  2. Step 2: Convert to fraction form
    263,940.68/364,379.46 = 206,457.86/x
  3. Step 3: Cross multiply
    263,940.68x = 364,379.46 × 206,457.86
  4. Step 4: Simplify right side
    263,940.68x = 75,229,003,539.56
  5. Step 5: Solve for x
    x = 75,229,003,539.56/263,940.68
  6. Step 6: Final answer
    x = 285,022.39

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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.