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Finding the Fourth Proportional to 308,082.97, 461,721.86 and 222,980.37

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Solution

The fourth proportional to 308,082.97, 461,721.86 and 222,980.37 is: 334,179.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,082.97 : 461,721.86 = 222,980.37 : x
  2. Step 2: Convert to fraction form
    308,082.97/461,721.86 = 222,980.37/x
  3. Step 3: Cross multiply
    308,082.97x = 461,721.86 × 222,980.37
  4. Step 4: Simplify right side
    308,082.97x = 102,954,911,766.89
  5. Step 5: Solve for x
    x = 102,954,911,766.89/308,082.97
  6. Step 6: Final answer
    x = 334,179.17

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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.