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Finding the Fourth Proportional to 422,638.42, 583,239.81 and 231,651.22

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Solution

The fourth proportional to 422,638.42, 583,239.81 and 231,651.22 is: 319,678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,638.42 : 583,239.81 = 231,651.22 : x
  2. Step 2: Convert to fraction form
    422,638.42/583,239.81 = 231,651.22/x
  3. Step 3: Cross multiply
    422,638.42x = 583,239.81 × 231,651.22
  4. Step 4: Simplify right side
    422,638.42x = 135,108,213,539.07
  5. Step 5: Solve for x
    x = 135,108,213,539.07/422,638.42
  6. Step 6: Final answer
    x = 319,678.02

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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.