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Finding the Fourth Proportional to 309,512.92, 464,195.50 and 159,676.12

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Solution

The fourth proportional to 309,512.92, 464,195.50 and 159,676.12 is: 239,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,512.92 : 464,195.50 = 159,676.12 : x
  2. Step 2: Convert to fraction form
    309,512.92/464,195.50 = 159,676.12/x
  3. Step 3: Cross multiply
    309,512.92x = 464,195.50 × 159,676.12
  4. Step 4: Simplify right side
    309,512.92x = 74,120,936,361.46
  5. Step 5: Solve for x
    x = 74,120,936,361.46/309,512.92
  6. Step 6: Final answer
    x = 239,476.07

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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.