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Finding the Fourth Proportional to 666,198, 919,366.20 and 364,398.48

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Solution

The fourth proportional to 666,198, 919,366.20 and 364,398.48 is: 502,876.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,198 : 919,366.20 = 364,398.48 : x
  2. Step 2: Convert to fraction form
    666,198/919,366.20 = 364,398.48/x
  3. Step 3: Cross multiply
    666,198x = 919,366.20 × 364,398.48
  4. Step 4: Simplify right side
    666,198x = 335,015,645,843.38
  5. Step 5: Solve for x
    x = 335,015,645,843.38/666,198
  6. Step 6: Final answer
    x = 502,876.99

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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.