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Finding the Fourth Proportional to 366,493.91, 505,755.24 and 205,348.46

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Solution

The fourth proportional to 366,493.91, 505,755.24 and 205,348.46 is: 283,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,493.91 : 505,755.24 = 205,348.46 : x
  2. Step 2: Convert to fraction form
    366,493.91/505,755.24 = 205,348.46/x
  3. Step 3: Cross multiply
    366,493.91x = 505,755.24 × 205,348.46
  4. Step 4: Simplify right side
    366,493.91x = 103,856,057,142.15
  5. Step 5: Solve for x
    x = 103,856,057,142.15/366,493.91
  6. Step 6: Final answer
    x = 283,377.31

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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.