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Finding the Fourth Proportional to 411,331.10, 616,305.45 and 200,515.10

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Solution

The fourth proportional to 411,331.10, 616,305.45 and 200,515.10 is: 300,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,331.10 : 616,305.45 = 200,515.10 : x
  2. Step 2: Convert to fraction form
    411,331.10/616,305.45 = 200,515.10/x
  3. Step 3: Cross multiply
    411,331.10x = 616,305.45 × 200,515.10
  4. Step 4: Simplify right side
    411,331.10x = 123,578,548,937.30
  5. Step 5: Solve for x
    x = 123,578,548,937.30/411,331.10
  6. Step 6: Final answer
    x = 300,435.70

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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.