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Finding the Fourth Proportional to 368,067.65, 507,932.78 and 206,923.01

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Solution

The fourth proportional to 368,067.65, 507,932.78 and 206,923.01 is: 285,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,067.65 : 507,932.78 = 206,923.01 : x
  2. Step 2: Convert to fraction form
    368,067.65/507,932.78 = 206,923.01/x
  3. Step 3: Cross multiply
    368,067.65x = 507,932.78 × 206,923.01
  4. Step 4: Simplify right side
    368,067.65x = 105,102,976,140.99
  5. Step 5: Solve for x
    x = 105,102,976,140.99/368,067.65
  6. Step 6: Final answer
    x = 285,553.42

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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.