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Finding the Fourth Proportional to 393,706.50, 543,314.97 and 214,858.50

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Solution

The fourth proportional to 393,706.50, 543,314.97 and 214,858.50 is: 296,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,706.50 : 543,314.97 = 214,858.50 : x
  2. Step 2: Convert to fraction form
    393,706.50/543,314.97 = 214,858.50/x
  3. Step 3: Cross multiply
    393,706.50x = 543,314.97 × 214,858.50
  4. Step 4: Simplify right side
    393,706.50x = 116,735,839,481.75
  5. Step 5: Solve for x
    x = 116,735,839,481.75/393,706.50
  6. Step 6: Final answer
    x = 296,504.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.