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Finding the Fourth Proportional to 416,190.42, 624,504.33 and 226,786.50

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Solution

The fourth proportional to 416,190.42, 624,504.33 and 226,786.50 is: 340,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,190.42 : 624,504.33 = 226,786.50 : x
  2. Step 2: Convert to fraction form
    416,190.42/624,504.33 = 226,786.50/x
  3. Step 3: Cross multiply
    416,190.42x = 624,504.33 × 226,786.50
  4. Step 4: Simplify right side
    416,190.42x = 141,629,151,235.55
  5. Step 5: Solve for x
    x = 141,629,151,235.55/416,190.42
  6. Step 6: Final answer
    x = 340,298.92

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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.