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Finding the Fourth Proportional to 382,272.96, 573,176.16 and 157,563.84

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Solution

The fourth proportional to 382,272.96, 573,176.16 and 157,563.84 is: 236,249.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,272.96 : 573,176.16 = 157,563.84 : x
  2. Step 2: Convert to fraction form
    382,272.96/573,176.16 = 157,563.84/x
  3. Step 3: Cross multiply
    382,272.96x = 573,176.16 × 157,563.84
  4. Step 4: Simplify right side
    382,272.96x = 90,311,836,766.05
  5. Step 5: Solve for x
    x = 90,311,836,766.05/382,272.96
  6. Step 6: Final answer
    x = 236,249.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.