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Finding the Fourth Proportional to 285,832.80, 394,450.32 and 158,520.16

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Solution

The fourth proportional to 285,832.80, 394,450.32 and 158,520.16 is: 218,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,832.80 : 394,450.32 = 158,520.16 : x
  2. Step 2: Convert to fraction form
    285,832.80/394,450.32 = 158,520.16/x
  3. Step 3: Cross multiply
    285,832.80x = 394,450.32 × 158,520.16
  4. Step 4: Simplify right side
    285,832.80x = 62,528,327,838.45
  5. Step 5: Solve for x
    x = 62,528,327,838.45/285,832.80
  6. Step 6: Final answer
    x = 218,758.41

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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.