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Finding the Fourth Proportional to 277,988.38, 416,982.57 and 67,624.50

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Solution

The fourth proportional to 277,988.38, 416,982.57 and 67,624.50 is: 101,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,988.38 : 416,982.57 = 67,624.50 : x
  2. Step 2: Convert to fraction form
    277,988.38/416,982.57 = 67,624.50/x
  3. Step 3: Cross multiply
    277,988.38x = 416,982.57 × 67,624.50
  4. Step 4: Simplify right side
    277,988.38x = 28,198,237,804.97
  5. Step 5: Solve for x
    x = 28,198,237,804.97/277,988.38
  6. Step 6: Final answer
    x = 101,436.75

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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.