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Finding the Fourth Proportional to 386,377.97, 533,205.99 and 214,299.34

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Solution

The fourth proportional to 386,377.97, 533,205.99 and 214,299.34 is: 295,735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,377.97 : 533,205.99 = 214,299.34 : x
  2. Step 2: Convert to fraction form
    386,377.97/533,205.99 = 214,299.34/x
  3. Step 3: Cross multiply
    386,377.97x = 533,205.99 × 214,299.34
  4. Step 4: Simplify right side
    386,377.97x = 114,265,690,408.03
  5. Step 5: Solve for x
    x = 114,265,690,408.03/386,377.97
  6. Step 6: Final answer
    x = 295,735.53

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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.