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Finding the Fourth Proportional to 394,114.50, 543,880.17 and 215,266.50

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Solution

The fourth proportional to 394,114.50, 543,880.17 and 215,266.50 is: 297,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,114.50 : 543,880.17 = 215,266.50 : x
  2. Step 2: Convert to fraction form
    394,114.50/543,880.17 = 215,266.50/x
  3. Step 3: Cross multiply
    394,114.50x = 543,880.17 × 215,266.50
  4. Step 4: Simplify right side
    394,114.50x = 117,079,180,615.31
  5. Step 5: Solve for x
    x = 117,079,180,615.31/394,114.50
  6. Step 6: Final answer
    x = 297,068.95

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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.