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Finding the Fourth Proportional to 288,299.67, 397,855.02 and 160,976.17

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Solution

The fourth proportional to 288,299.67, 397,855.02 and 160,976.17 is: 222,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,299.67 : 397,855.02 = 160,976.17 : x
  2. Step 2: Convert to fraction form
    288,299.67/397,855.02 = 160,976.17/x
  3. Step 3: Cross multiply
    288,299.67x = 397,855.02 × 160,976.17
  4. Step 4: Simplify right side
    288,299.67x = 64,045,177,334.87
  5. Step 5: Solve for x
    x = 64,045,177,334.87/288,299.67
  6. Step 6: Final answer
    x = 222,147.94

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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.