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Finding the Fourth Proportional to 290,971.35, 401,724.95 and 199,244.13

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Solution

The fourth proportional to 290,971.35, 401,724.95 and 199,244.13 is: 275,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,971.35 : 401,724.95 = 199,244.13 : x
  2. Step 2: Convert to fraction form
    290,971.35/401,724.95 = 199,244.13/x
  3. Step 3: Cross multiply
    290,971.35x = 401,724.95 × 199,244.13
  4. Step 4: Simplify right side
    290,971.35x = 80,041,337,165.82
  5. Step 5: Solve for x
    x = 80,041,337,165.82/290,971.35
  6. Step 6: Final answer
    x = 275,083.22

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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.