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Finding the Fourth Proportional to 277,585.88, 416,379.90 and 67,224.04

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Solution

The fourth proportional to 277,585.88, 416,379.90 and 67,224.04 is: 100,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,585.88 : 416,379.90 = 67,224.04 : x
  2. Step 2: Convert to fraction form
    277,585.88/416,379.90 = 67,224.04/x
  3. Step 3: Cross multiply
    277,585.88x = 416,379.90 × 67,224.04
  4. Step 4: Simplify right side
    277,585.88x = 27,990,739,052.80
  5. Step 5: Solve for x
    x = 27,990,739,052.80/277,585.88
  6. Step 6: Final answer
    x = 100,836.32

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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.