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Finding the Fourth Proportional to 505,758.96, 758,747.79 and 269,067.24

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Solution

The fourth proportional to 505,758.96, 758,747.79 and 269,067.24 is: 403,659.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,758.96 : 758,747.79 = 269,067.24 : x
  2. Step 2: Convert to fraction form
    505,758.96/758,747.79 = 269,067.24/x
  3. Step 3: Cross multiply
    505,758.96x = 758,747.79 × 269,067.24
  4. Step 4: Simplify right side
    505,758.96x = 204,154,173,711.40
  5. Step 5: Solve for x
    x = 204,154,173,711.40/505,758.96
  6. Step 6: Final answer
    x = 403,659.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.