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Finding the Fourth Proportional to 422,872.48, 583,535.52 and 231,881.80

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Solution

The fourth proportional to 422,872.48, 583,535.52 and 231,881.80 is: 319,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,872.48 : 583,535.52 = 231,881.80 : x
  2. Step 2: Convert to fraction form
    422,872.48/583,535.52 = 231,881.80/x
  3. Step 3: Cross multiply
    422,872.48x = 583,535.52 × 231,881.80
  4. Step 4: Simplify right side
    422,872.48x = 135,311,266,741.54
  5. Step 5: Solve for x
    x = 135,311,266,741.54/422,872.48
  6. Step 6: Final answer
    x = 319,981.25

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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.