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Finding the Fourth Proportional to 422,075.37, 582,440.94 and 231,051.81

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Solution

The fourth proportional to 422,075.37, 582,440.94 and 231,051.81 is: 318,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,075.37 : 582,440.94 = 231,051.81 : x
  2. Step 2: Convert to fraction form
    422,075.37/582,440.94 = 231,051.81/x
  3. Step 3: Cross multiply
    422,075.37x = 582,440.94 × 231,051.81
  4. Step 4: Simplify right side
    422,075.37x = 134,574,033,405.10
  5. Step 5: Solve for x
    x = 134,574,033,405.10/422,075.37
  6. Step 6: Final answer
    x = 318,838.87

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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.