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Finding the Fourth Proportional to 422,075.87, 582,441.63 and 231,052.31

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Solution

The fourth proportional to 422,075.87, 582,441.63 and 231,052.31 is: 318,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,075.87 : 582,441.63 = 231,052.31 : x
  2. Step 2: Convert to fraction form
    422,075.87/582,441.63 = 231,052.31/x
  3. Step 3: Cross multiply
    422,075.87x = 582,441.63 × 231,052.31
  4. Step 4: Simplify right side
    422,075.87x = 134,574,484,051.67
  5. Step 5: Solve for x
    x = 134,574,484,051.67/422,075.87
  6. Step 6: Final answer
    x = 318,839.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.