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Finding the Fourth Proportional to 416,134.43, 574,662.20 and 393,464.88

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Solution

The fourth proportional to 416,134.43, 574,662.20 and 393,464.88 is: 543,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,134.43 : 574,662.20 = 393,464.88 : x
  2. Step 2: Convert to fraction form
    416,134.43/574,662.20 = 393,464.88/x
  3. Step 3: Cross multiply
    416,134.43x = 574,662.20 × 393,464.88
  4. Step 4: Simplify right side
    416,134.43x = 226,109,393,563.54
  5. Step 5: Solve for x
    x = 226,109,393,563.54/416,134.43
  6. Step 6: Final answer
    x = 543,356.61

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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.