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Finding the Fourth Proportional to 276,640.20, 415,349.10 and 171,664.20

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Solution

The fourth proportional to 276,640.20, 415,349.10 and 171,664.20 is: 257,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,640.20 : 415,349.10 = 171,664.20 : x
  2. Step 2: Convert to fraction form
    276,640.20/415,349.10 = 171,664.20/x
  3. Step 3: Cross multiply
    276,640.20x = 415,349.10 × 171,664.20
  4. Step 4: Simplify right side
    276,640.20x = 71,300,570,972.22
  5. Step 5: Solve for x
    x = 71,300,570,972.22/276,640.20
  6. Step 6: Final answer
    x = 257,737.56

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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.