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Finding the Fourth Proportional to 366,414.30, 505,682.82 and 205,267.14

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Solution

The fourth proportional to 366,414.30, 505,682.82 and 205,267.14 is: 283,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,414.30 : 505,682.82 = 205,267.14 : x
  2. Step 2: Convert to fraction form
    366,414.30/505,682.82 = 205,267.14/x
  3. Step 3: Cross multiply
    366,414.30x = 505,682.82 × 205,267.14
  4. Step 4: Simplify right side
    366,414.30x = 103,800,066,208.54
  5. Step 5: Solve for x
    x = 103,800,066,208.54/366,414.30
  6. Step 6: Final answer
    x = 283,286.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.