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Finding the Fourth Proportional to 422,917.37, 583,633.46 and 231,929.09

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Solution

The fourth proportional to 422,917.37, 583,633.46 and 231,929.09 is: 320,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,917.37 : 583,633.46 = 231,929.09 : x
  2. Step 2: Convert to fraction form
    422,917.37/583,633.46 = 231,929.09/x
  3. Step 3: Cross multiply
    422,917.37x = 583,633.46 × 231,929.09
  4. Step 4: Simplify right side
    422,917.37x = 135,361,576,111.71
  5. Step 5: Solve for x
    x = 135,361,576,111.71/422,917.37
  6. Step 6: Final answer
    x = 320,066.25

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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.