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Finding the Fourth Proportional to 422,954.61, 634,043.37 and 182,918.37

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Solution

The fourth proportional to 422,954.61, 634,043.37 and 182,918.37 is: 274,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,954.61 : 634,043.37 = 182,918.37 : x
  2. Step 2: Convert to fraction form
    422,954.61/634,043.37 = 182,918.37/x
  3. Step 3: Cross multiply
    422,954.61x = 634,043.37 × 182,918.37
  4. Step 4: Simplify right side
    422,954.61x = 115,978,182,813.31
  5. Step 5: Solve for x
    x = 115,978,182,813.31/422,954.61
  6. Step 6: Final answer
    x = 274,209.53

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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.