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Finding the Fourth Proportional to 613,282.97, 919,859.76 and 164,049.19

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Solution

The fourth proportional to 613,282.97, 919,859.76 and 164,049.19 is: 246,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,282.97 : 919,859.76 = 164,049.19 : x
  2. Step 2: Convert to fraction form
    613,282.97/919,859.76 = 164,049.19/x
  3. Step 3: Cross multiply
    613,282.97x = 919,859.76 × 164,049.19
  4. Step 4: Simplify right side
    613,282.97x = 150,902,246,241.95
  5. Step 5: Solve for x
    x = 150,902,246,241.95/613,282.97
  6. Step 6: Final answer
    x = 246,056.47

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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.