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Finding the Fourth Proportional to 305,694.38, 421,164.30 and 236,546.08

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Solution

The fourth proportional to 305,694.38, 421,164.30 and 236,546.08 is: 325,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,694.38 : 421,164.30 = 236,546.08 : x
  2. Step 2: Convert to fraction form
    305,694.38/421,164.30 = 236,546.08/x
  3. Step 3: Cross multiply
    305,694.38x = 421,164.30 × 236,546.08
  4. Step 4: Simplify right side
    305,694.38x = 99,624,764,200.94
  5. Step 5: Solve for x
    x = 99,624,764,200.94/305,694.38
  6. Step 6: Final answer
    x = 325,896.62

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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.