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Finding the Fourth Proportional to 644,997.84, 967,498.89 and 195,722.43

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Solution

The fourth proportional to 644,997.84, 967,498.89 and 195,722.43 is: 293,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,997.84 : 967,498.89 = 195,722.43 : x
  2. Step 2: Convert to fraction form
    644,997.84/967,498.89 = 195,722.43/x
  3. Step 3: Cross multiply
    644,997.84x = 967,498.89 × 195,722.43
  4. Step 4: Simplify right side
    644,997.84x = 189,361,233,773.10
  5. Step 5: Solve for x
    x = 189,361,233,773.10/644,997.84
  6. Step 6: Final answer
    x = 293,584.29

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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.