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Finding the Fourth Proportional to 274,349.56, 411,563.77 and 84,824.70

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Solution

The fourth proportional to 274,349.56, 411,563.77 and 84,824.70 is: 127,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,349.56 : 411,563.77 = 84,824.70 : x
  2. Step 2: Convert to fraction form
    274,349.56/411,563.77 = 84,824.70/x
  3. Step 3: Cross multiply
    274,349.56x = 411,563.77 × 84,824.70
  4. Step 4: Simplify right side
    274,349.56x = 34,910,773,321.12
  5. Step 5: Solve for x
    x = 34,910,773,321.12/274,349.56
  6. Step 6: Final answer
    x = 127,249.24

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Why These Related Problems?

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