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Finding the Fourth Proportional to 411,034.21, 617,110.41 and 231,246.16

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Solution

The fourth proportional to 411,034.21, 617,110.41 and 231,246.16 is: 347,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,034.21 : 617,110.41 = 231,246.16 : x
  2. Step 2: Convert to fraction form
    411,034.21/617,110.41 = 231,246.16/x
  3. Step 3: Cross multiply
    411,034.21x = 617,110.41 × 231,246.16
  4. Step 4: Simplify right side
    411,034.21x = 142,704,411,932.92
  5. Step 5: Solve for x
    x = 142,704,411,932.92/411,034.21
  6. Step 6: Final answer
    x = 347,183.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.