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Finding the Fourth Proportional to 643,375.40, 965,297.10 and 222,693.80

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Solution

The fourth proportional to 643,375.40, 965,297.10 and 222,693.80 is: 334,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,375.40 : 965,297.10 = 222,693.80 : x
  2. Step 2: Convert to fraction form
    643,375.40/965,297.10 = 222,693.80/x
  3. Step 3: Cross multiply
    643,375.40x = 965,297.10 × 222,693.80
  4. Step 4: Simplify right side
    643,375.40x = 214,965,679,327.98
  5. Step 5: Solve for x
    x = 214,965,679,327.98/643,375.40
  6. Step 6: Final answer
    x = 334,121.70

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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.