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Finding the Fourth Proportional to 422,904.72, 583,609.32 and 231,919.52

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Solution

The fourth proportional to 422,904.72, 583,609.32 and 231,919.52 is: 320,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,904.72 : 583,609.32 = 231,919.52 : x
  2. Step 2: Convert to fraction form
    422,904.72/583,609.32 = 231,919.52/x
  3. Step 3: Cross multiply
    422,904.72x = 583,609.32 × 231,919.52
  4. Step 4: Simplify right side
    422,904.72x = 135,350,393,361.93
  5. Step 5: Solve for x
    x = 135,350,393,361.93/422,904.72
  6. Step 6: Final answer
    x = 320,049.38

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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.