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Finding the Fourth Proportional to 290,909.75, 401,227.73 and 199,083.42

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Solution

The fourth proportional to 290,909.75, 401,227.73 and 199,083.42 is: 274,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,909.75 : 401,227.73 = 199,083.42 : x
  2. Step 2: Convert to fraction form
    290,909.75/401,227.73 = 199,083.42/x
  3. Step 3: Cross multiply
    290,909.75x = 401,227.73 × 199,083.42
  4. Step 4: Simplify right side
    290,909.75x = 79,877,787,691.82
  5. Step 5: Solve for x
    x = 79,877,787,691.82/290,909.75
  6. Step 6: Final answer
    x = 274,579.28

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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.