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Finding the Fourth Proportional to 305,387.97, 421,260.30 and 190,467.09

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Solution

The fourth proportional to 305,387.97, 421,260.30 and 190,467.09 is: 262,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,387.97 : 421,260.30 = 190,467.09 : x
  2. Step 2: Convert to fraction form
    305,387.97/421,260.30 = 190,467.09/x
  3. Step 3: Cross multiply
    305,387.97x = 421,260.30 × 190,467.09
  4. Step 4: Simplify right side
    305,387.97x = 80,236,223,473.53
  5. Step 5: Solve for x
    x = 80,236,223,473.53/305,387.97
  6. Step 6: Final answer
    x = 262,735.38

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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.