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Finding the Fourth Proportional to 422,942.64, 583,668.32 and 231,954.36

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Solution

The fourth proportional to 422,942.64, 583,668.32 and 231,954.36 is: 320,101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,942.64 : 583,668.32 = 231,954.36 : x
  2. Step 2: Convert to fraction form
    422,942.64/583,668.32 = 231,954.36/x
  3. Step 3: Cross multiply
    422,942.64x = 583,668.32 × 231,954.36
  4. Step 4: Simplify right side
    422,942.64x = 135,384,411,617.88
  5. Step 5: Solve for x
    x = 135,384,411,617.88/422,942.64
  6. Step 6: Final answer
    x = 320,101.12

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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.