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Finding the Fourth Proportional to 274,406.96, 411,610.44 and 180,890.84

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Solution

The fourth proportional to 274,406.96, 411,610.44 and 180,890.84 is: 271,336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,406.96 : 411,610.44 = 180,890.84 : x
  2. Step 2: Convert to fraction form
    274,406.96/411,610.44 = 180,890.84/x
  3. Step 3: Cross multiply
    274,406.96x = 411,610.44 × 180,890.84
  4. Step 4: Simplify right side
    274,406.96x = 74,456,558,244.37
  5. Step 5: Solve for x
    x = 74,456,558,244.37/274,406.96
  6. Step 6: Final answer
    x = 271,336.26

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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.