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Finding the Fourth Proportional to 274,309.56, 411,496.74 and 116,450.28

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Solution

The fourth proportional to 274,309.56, 411,496.74 and 116,450.28 is: 174,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,309.56 : 411,496.74 = 116,450.28 : x
  2. Step 2: Convert to fraction form
    274,309.56/411,496.74 = 116,450.28/x
  3. Step 3: Cross multiply
    274,309.56x = 411,496.74 × 116,450.28
  4. Step 4: Simplify right side
    274,309.56x = 47,918,910,592.09
  5. Step 5: Solve for x
    x = 47,918,910,592.09/274,309.56
  6. Step 6: Final answer
    x = 174,689.17

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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.