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Finding the Fourth Proportional to 349,086.57, 481,735.53 and 205,892.76

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Solution

The fourth proportional to 349,086.57, 481,735.53 and 205,892.76 is: 284,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,086.57 : 481,735.53 = 205,892.76 : x
  2. Step 2: Convert to fraction form
    349,086.57/481,735.53 = 205,892.76/x
  3. Step 3: Cross multiply
    349,086.57x = 481,735.53 × 205,892.76
  4. Step 4: Simplify right side
    349,086.57x = 99,185,857,861.76
  5. Step 5: Solve for x
    x = 99,185,857,861.76/349,086.57
  6. Step 6: Final answer
    x = 284,129.69

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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.