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Finding the Fourth Proportional to 422,810.56, 583,474.44 and 231,823.48

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Solution

The fourth proportional to 422,810.56, 583,474.44 and 231,823.48 is: 319,914.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,810.56 : 583,474.44 = 231,823.48 : x
  2. Step 2: Convert to fraction form
    422,810.56/583,474.44 = 231,823.48/x
  3. Step 3: Cross multiply
    422,810.56x = 583,474.44 × 231,823.48
  4. Step 4: Simplify right side
    422,810.56x = 135,263,075,171.85
  5. Step 5: Solve for x
    x = 135,263,075,171.85/422,810.56
  6. Step 6: Final answer
    x = 319,914.14

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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.