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Finding the Fourth Proportional to 365,991.11, 505,067.64 and 204,846.17

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Solution

The fourth proportional to 365,991.11, 505,067.64 and 204,846.17 is: 282,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,991.11 : 505,067.64 = 204,846.17 : x
  2. Step 2: Convert to fraction form
    365,991.11/505,067.64 = 204,846.17/x
  3. Step 3: Cross multiply
    365,991.11x = 505,067.64 × 204,846.17
  4. Step 4: Simplify right side
    365,991.11x = 103,461,168,351.43
  5. Step 5: Solve for x
    x = 103,461,168,351.43/365,991.11
  6. Step 6: Final answer
    x = 282,687.66

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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.