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Finding the Fourth Proportional to 277,586.38, 416,380.66 and 67,224.52

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Solution

The fourth proportional to 277,586.38, 416,380.66 and 67,224.52 is: 100,837.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,586.38 : 416,380.66 = 67,224.52 : x
  2. Step 2: Convert to fraction form
    277,586.38/416,380.66 = 67,224.52/x
  3. Step 3: Cross multiply
    277,586.38x = 416,380.66 × 67,224.52
  4. Step 4: Simplify right side
    277,586.38x = 27,990,990,005.78
  5. Step 5: Solve for x
    x = 27,990,990,005.78/277,586.38
  6. Step 6: Final answer
    x = 100,837.04

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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.