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Finding the Fourth Proportional to 643,815, 965,408.22 and 194,449.68

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Solution

The fourth proportional to 643,815, 965,408.22 and 194,449.68 is: 291,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,815 : 965,408.22 = 194,449.68 : x
  2. Step 2: Convert to fraction form
    643,815/965,408.22 = 194,449.68/x
  3. Step 3: Cross multiply
    643,815x = 965,408.22 × 194,449.68
  4. Step 4: Simplify right side
    643,815x = 187,723,319,448.37
  5. Step 5: Solve for x
    x = 187,723,319,448.37/643,815
  6. Step 6: Final answer
    x = 291,579.60

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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.