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Finding the Fourth Proportional to 367,039.92, 506,469.60 and 205,872.60

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Solution

The fourth proportional to 367,039.92, 506,469.60 and 205,872.60 is: 284,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,039.92 : 506,469.60 = 205,872.60 : x
  2. Step 2: Convert to fraction form
    367,039.92/506,469.60 = 205,872.60/x
  3. Step 3: Cross multiply
    367,039.92x = 506,469.60 × 205,872.60
  4. Step 4: Simplify right side
    367,039.92x = 104,268,213,372.96
  5. Step 5: Solve for x
    x = 104,268,213,372.96/367,039.92
  6. Step 6: Final answer
    x = 284,078.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.