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Finding the Fourth Proportional to 422,767.08, 583,418.43 and 231,776.37

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Solution

The fourth proportional to 422,767.08, 583,418.43 and 231,776.37 is: 319,851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,767.08 : 583,418.43 = 231,776.37 : x
  2. Step 2: Convert to fraction form
    422,767.08/583,418.43 = 231,776.37/x
  3. Step 3: Cross multiply
    422,767.08x = 583,418.43 × 231,776.37
  4. Step 4: Simplify right side
    422,767.08x = 135,222,605,896.50
  5. Step 5: Solve for x
    x = 135,222,605,896.50/422,767.08
  6. Step 6: Final answer
    x = 319,851.31

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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.