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Finding the Fourth Proportional to 321,469.94, 482,224.94 and 84,812.84

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Solution

The fourth proportional to 321,469.94, 482,224.94 and 84,812.84 is: 127,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,469.94 : 482,224.94 = 84,812.84 : x
  2. Step 2: Convert to fraction form
    321,469.94/482,224.94 = 84,812.84/x
  3. Step 3: Cross multiply
    321,469.94x = 482,224.94 × 84,812.84
  4. Step 4: Simplify right side
    321,469.94x = 40,898,866,680.23
  5. Step 5: Solve for x
    x = 40,898,866,680.23/321,469.94
  6. Step 6: Final answer
    x = 127,224.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.