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Finding the Fourth Proportional to 422,314.53, 582,794.19 and 231,334.80

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Solution

The fourth proportional to 422,314.53, 582,794.19 and 231,334.80 is: 319,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,314.53 : 582,794.19 = 231,334.80 : x
  2. Step 2: Convert to fraction form
    422,314.53/582,794.19 = 231,334.80/x
  3. Step 3: Cross multiply
    422,314.53x = 582,794.19 × 231,334.80
  4. Step 4: Simplify right side
    422,314.53x = 134,820,577,384.81
  5. Step 5: Solve for x
    x = 134,820,577,384.81/422,314.53
  6. Step 6: Final answer
    x = 319,242.10

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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.