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Finding the Fourth Proportional to 416,127.69, 624,194.19 and 135,644.94

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Solution

The fourth proportional to 416,127.69, 624,194.19 and 135,644.94 is: 203,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,127.69 : 624,194.19 = 135,644.94 : x
  2. Step 2: Convert to fraction form
    416,127.69/624,194.19 = 135,644.94/x
  3. Step 3: Cross multiply
    416,127.69x = 624,194.19 × 135,644.94
  4. Step 4: Simplify right side
    416,127.69x = 84,668,783,450.90
  5. Step 5: Solve for x
    x = 84,668,783,450.90/416,127.69
  6. Step 6: Final answer
    x = 203,468.28

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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.