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Finding the Fourth Proportional to 411,167.24, 617,310.38 and 231,379.68

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Solution

The fourth proportional to 411,167.24, 617,310.38 and 231,379.68 is: 347,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,167.24 : 617,310.38 = 231,379.68 : x
  2. Step 2: Convert to fraction form
    411,167.24/617,310.38 = 231,379.68/x
  3. Step 3: Cross multiply
    411,167.24x = 617,310.38 × 231,379.68
  4. Step 4: Simplify right side
    411,167.24x = 142,833,078,185.08
  5. Step 5: Solve for x
    x = 142,833,078,185.08/411,167.24
  6. Step 6: Final answer
    x = 347,384.38

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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.