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Finding the Fourth Proportional to 422,637.42, 583,238.43 and 231,650.22

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Solution

The fourth proportional to 422,637.42, 583,238.43 and 231,650.22 is: 319,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,637.42 : 583,238.43 = 231,650.22 : x
  2. Step 2: Convert to fraction form
    422,637.42/583,238.43 = 231,650.22/x
  3. Step 3: Cross multiply
    422,637.42x = 583,238.43 × 231,650.22
  4. Step 4: Simplify right side
    422,637.42x = 135,107,310,621.96
  5. Step 5: Solve for x
    x = 135,107,310,621.96/422,637.42
  6. Step 6: Final answer
    x = 319,676.64

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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.