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Finding the Fourth Proportional to 274,538.36, 411,136.86 and 169,212.44

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Solution

The fourth proportional to 274,538.36, 411,136.86 and 169,212.44 is: 253,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,538.36 : 411,136.86 = 169,212.44 : x
  2. Step 2: Convert to fraction form
    274,538.36/411,136.86 = 169,212.44/x
  3. Step 3: Cross multiply
    274,538.36x = 411,136.86 × 169,212.44
  4. Step 4: Simplify right side
    274,538.36x = 69,569,471,254.54
  5. Step 5: Solve for x
    x = 69,569,471,254.54/274,538.36
  6. Step 6: Final answer
    x = 253,405.28

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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.