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Finding the Fourth Proportional to 411,523.59, 617,344.53 and 127,236.30

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Solution

The fourth proportional to 411,523.59, 617,344.53 and 127,236.30 is: 190,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,523.59 : 617,344.53 = 127,236.30 : x
  2. Step 2: Convert to fraction form
    411,523.59/617,344.53 = 127,236.30/x
  3. Step 3: Cross multiply
    411,523.59x = 617,344.53 × 127,236.30
  4. Step 4: Simplify right side
    411,523.59x = 78,548,635,218.53
  5. Step 5: Solve for x
    x = 78,548,635,218.53/411,523.59
  6. Step 6: Final answer
    x = 190,872.74

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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.