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Finding the Fourth Proportional to 393,784.50, 543,422.61 and 214,936.50

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Solution

The fourth proportional to 393,784.50, 543,422.61 and 214,936.50 is: 296,612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,784.50 : 543,422.61 = 214,936.50 : x
  2. Step 2: Convert to fraction form
    393,784.50/543,422.61 = 214,936.50/x
  3. Step 3: Cross multiply
    393,784.50x = 543,422.61 × 214,936.50
  4. Step 4: Simplify right side
    393,784.50x = 116,801,353,814.27
  5. Step 5: Solve for x
    x = 116,801,353,814.27/393,784.50
  6. Step 6: Final answer
    x = 296,612.37

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