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Finding the Fourth Proportional to 389,067, 536,953.74 and 228,057.33

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Solution

The fourth proportional to 389,067, 536,953.74 and 228,057.33 is: 314,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,067 : 536,953.74 = 228,057.33 : x
  2. Step 2: Convert to fraction form
    389,067/536,953.74 = 228,057.33/x
  3. Step 3: Cross multiply
    389,067x = 536,953.74 × 228,057.33
  4. Step 4: Simplify right side
    389,067x = 122,456,236,277.91
  5. Step 5: Solve for x
    x = 122,456,236,277.91/389,067
  6. Step 6: Final answer
    x = 314,743.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.