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Finding the Fourth Proportional to 308,972.55, 463,732.20 and 182,454.60

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Solution

The fourth proportional to 308,972.55, 463,732.20 and 182,454.60 is: 273,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,972.55 : 463,732.20 = 182,454.60 : x
  2. Step 2: Convert to fraction form
    308,972.55/463,732.20 = 182,454.60/x
  3. Step 3: Cross multiply
    308,972.55x = 463,732.20 × 182,454.60
  4. Step 4: Simplify right side
    308,972.55x = 84,610,073,058.12
  5. Step 5: Solve for x
    x = 84,610,073,058.12/308,972.55
  6. Step 6: Final answer
    x = 273,843.33

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Why These Related Problems?

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