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Finding the Fourth Proportional to 422,323.34, 633,546.77 and 122,764.98

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Solution

The fourth proportional to 422,323.34, 633,546.77 and 122,764.98 is: 184,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,323.34 : 633,546.77 = 122,764.98 : x
  2. Step 2: Convert to fraction form
    422,323.34/633,546.77 = 122,764.98/x
  3. Step 3: Cross multiply
    422,323.34x = 633,546.77 × 122,764.98
  4. Step 4: Simplify right side
    422,323.34x = 77,777,355,934.29
  5. Step 5: Solve for x
    x = 77,777,355,934.29/422,323.34
  6. Step 6: Final answer
    x = 184,165.42

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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.