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Finding the Fourth Proportional to 393,634.85, 543,200.46 and 232,541.78

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Solution

The fourth proportional to 393,634.85, 543,200.46 and 232,541.78 is: 320,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,634.85 : 543,200.46 = 232,541.78 : x
  2. Step 2: Convert to fraction form
    393,634.85/543,200.46 = 232,541.78/x
  3. Step 3: Cross multiply
    393,634.85x = 543,200.46 × 232,541.78
  4. Step 4: Simplify right side
    393,634.85x = 126,316,801,865.22
  5. Step 5: Solve for x
    x = 126,316,801,865.22/393,634.85
  6. Step 6: Final answer
    x = 320,898.42

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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.