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Finding the Fourth Proportional to 290,724.99, 401,233.73 and 161,676.33

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Solution

The fourth proportional to 290,724.99, 401,233.73 and 161,676.33 is: 223,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,724.99 : 401,233.73 = 161,676.33 : x
  2. Step 2: Convert to fraction form
    290,724.99/401,233.73 = 161,676.33/x
  3. Step 3: Cross multiply
    290,724.99x = 401,233.73 × 161,676.33
  4. Step 4: Simplify right side
    290,724.99x = 64,869,996,938.61
  5. Step 5: Solve for x
    x = 64,869,996,938.61/290,724.99
  6. Step 6: Final answer
    x = 223,131.82

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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.