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Finding the Fourth Proportional to 287,906.30, 397,182.31 and 166,977.48

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Solution

The fourth proportional to 287,906.30, 397,182.31 and 166,977.48 is: 230,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,906.30 : 397,182.31 = 166,977.48 : x
  2. Step 2: Convert to fraction form
    287,906.30/397,182.31 = 166,977.48/x
  3. Step 3: Cross multiply
    287,906.30x = 397,182.31 × 166,977.48
  4. Step 4: Simplify right side
    287,906.30x = 66,320,501,224.38
  5. Step 5: Solve for x
    x = 66,320,501,224.38/287,906.30
  6. Step 6: Final answer
    x = 230,354.46

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Why These Related Problems?

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