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Finding the Fourth Proportional to 263,872.86, 396,338.72 and 157,464.38

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Solution

The fourth proportional to 263,872.86, 396,338.72 and 157,464.38 is: 236,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,872.86 : 396,338.72 = 157,464.38 : x
  2. Step 2: Convert to fraction form
    263,872.86/396,338.72 = 157,464.38/x
  3. Step 3: Cross multiply
    263,872.86x = 396,338.72 × 157,464.38
  4. Step 4: Simplify right side
    263,872.86x = 62,409,228,045.78
  5. Step 5: Solve for x
    x = 62,409,228,045.78/263,872.86
  6. Step 6: Final answer
    x = 236,512.49

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