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Finding the Fourth Proportional to 284,857.38, 393,202.07 and 164,046.78

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Solution

The fourth proportional to 284,857.38, 393,202.07 and 164,046.78 is: 226,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,857.38 : 393,202.07 = 164,046.78 : x
  2. Step 2: Convert to fraction form
    284,857.38/393,202.07 = 164,046.78/x
  3. Step 3: Cross multiply
    284,857.38x = 393,202.07 × 164,046.78
  4. Step 4: Simplify right side
    284,857.38x = 64,503,532,652.60
  5. Step 5: Solve for x
    x = 64,503,532,652.60/284,857.38
  6. Step 6: Final answer
    x = 226,441.50

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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.