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Finding the Fourth Proportional to 361,786.25, 543,004.63 and 193,450.46

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Solution

The fourth proportional to 361,786.25, 543,004.63 and 193,450.46 is: 290,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,786.25 : 543,004.63 = 193,450.46 : x
  2. Step 2: Convert to fraction form
    361,786.25/543,004.63 = 193,450.46/x
  3. Step 3: Cross multiply
    361,786.25x = 543,004.63 × 193,450.46
  4. Step 4: Simplify right side
    361,786.25x = 105,044,494,293.25
  5. Step 5: Solve for x
    x = 105,044,494,293.25/361,786.25
  6. Step 6: Final answer
    x = 290,349.61

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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.