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Finding the Fourth Proportional to 277,984.35, 416,972.88 and 67,622.49

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Solution

The fourth proportional to 277,984.35, 416,972.88 and 67,622.49 is: 101,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,984.35 : 416,972.88 = 67,622.49 : x
  2. Step 2: Convert to fraction form
    277,984.35/416,972.88 = 67,622.49/x
  3. Step 3: Cross multiply
    277,984.35x = 416,972.88 × 67,622.49
  4. Step 4: Simplify right side
    277,984.35x = 28,196,744,408.07
  5. Step 5: Solve for x
    x = 28,196,744,408.07/277,984.35
  6. Step 6: Final answer
    x = 101,432.85

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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.