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Finding the Fourth Proportional to 277,584.88, 416,378.40 and 67,223.04

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Solution

The fourth proportional to 277,584.88, 416,378.40 and 67,223.04 is: 100,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,584.88 : 416,378.40 = 67,223.04 : x
  2. Step 2: Convert to fraction form
    277,584.88/416,378.40 = 67,223.04/x
  3. Step 3: Cross multiply
    277,584.88x = 416,378.40 × 67,223.04
  4. Step 4: Simplify right side
    277,584.88x = 27,990,221,838.34
  5. Step 5: Solve for x
    x = 27,990,221,838.34/277,584.88
  6. Step 6: Final answer
    x = 100,834.82

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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.