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Finding the Fourth Proportional to 422,062.34, 582,445.75 and 231,075.68

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Solution

The fourth proportional to 422,062.34, 582,445.75 and 231,075.68 is: 318,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,062.34 : 582,445.75 = 231,075.68 : x
  2. Step 2: Convert to fraction form
    422,062.34/582,445.75 = 231,075.68/x
  3. Step 3: Cross multiply
    422,062.34x = 582,445.75 × 231,075.68
  4. Step 4: Simplify right side
    422,062.34x = 134,589,047,744.36
  5. Step 5: Solve for x
    x = 134,589,047,744.36/422,062.34
  6. Step 6: Final answer
    x = 318,884.29

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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.