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Finding the Fourth Proportional to 422,021.81, 582,390.08 and 231,035.19

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Solution

The fourth proportional to 422,021.81, 582,390.08 and 231,035.19 is: 318,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,021.81 : 582,390.08 = 231,035.19 : x
  2. Step 2: Convert to fraction form
    422,021.81/582,390.08 = 231,035.19/x
  3. Step 3: Cross multiply
    422,021.81x = 582,390.08 × 231,035.19
  4. Step 4: Simplify right side
    422,021.81x = 134,552,601,631.74
  5. Step 5: Solve for x
    x = 134,552,601,631.74/422,021.81
  6. Step 6: Final answer
    x = 318,828.55

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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.