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Finding the Fourth Proportional to 228,558.20, 342,059.70 and 200,564.60

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Solution

The fourth proportional to 228,558.20, 342,059.70 and 200,564.60 is: 300,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,558.20 : 342,059.70 = 200,564.60 : x
  2. Step 2: Convert to fraction form
    228,558.20/342,059.70 = 200,564.60/x
  3. Step 3: Cross multiply
    228,558.20x = 342,059.70 × 200,564.60
  4. Step 4: Simplify right side
    228,558.20x = 68,605,066,906.62
  5. Step 5: Solve for x
    x = 68,605,066,906.62/228,558.20
  6. Step 6: Final answer
    x = 300,164.54

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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.