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Finding the Fourth Proportional to 290,912.26, 401,231.16 and 199,085.92

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Solution

The fourth proportional to 290,912.26, 401,231.16 and 199,085.92 is: 274,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,912.26 : 401,231.16 = 199,085.92 : x
  2. Step 2: Convert to fraction form
    290,912.26/401,231.16 = 199,085.92/x
  3. Step 3: Cross multiply
    290,912.26x = 401,231.16 × 199,085.92
  4. Step 4: Simplify right side
    290,912.26x = 79,879,474,621.27
  5. Step 5: Solve for x
    x = 79,879,474,621.27/290,912.26
  6. Step 6: Final answer
    x = 274,582.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.