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Finding the Fourth Proportional to 335,355.82, 462,792.24 and 182,394

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Solution

The fourth proportional to 335,355.82, 462,792.24 and 182,394 is: 251,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,355.82 : 462,792.24 = 182,394 : x
  2. Step 2: Convert to fraction form
    335,355.82/462,792.24 = 182,394/x
  3. Step 3: Cross multiply
    335,355.82x = 462,792.24 × 182,394
  4. Step 4: Simplify right side
    335,355.82x = 84,410,527,822.56
  5. Step 5: Solve for x
    x = 84,410,527,822.56/335,355.82
  6. Step 6: Final answer
    x = 251,704.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.