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Finding the Fourth Proportional to 288,083.46, 397,555.26 and 159,022.02

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Solution

The fourth proportional to 288,083.46, 397,555.26 and 159,022.02 is: 219,450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,083.46 : 397,555.26 = 159,022.02 : x
  2. Step 2: Convert to fraction form
    288,083.46/397,555.26 = 159,022.02/x
  3. Step 3: Cross multiply
    288,083.46x = 397,555.26 × 159,022.02
  4. Step 4: Simplify right side
    288,083.46x = 63,220,040,506.83
  5. Step 5: Solve for x
    x = 63,220,040,506.83/288,083.46
  6. Step 6: Final answer
    x = 219,450.43

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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.