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Finding the Fourth Proportional to 417,620.56, 576,320.60 and 226,635.60

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Solution

The fourth proportional to 417,620.56, 576,320.60 and 226,635.60 is: 312,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,620.56 : 576,320.60 = 226,635.60 : x
  2. Step 2: Convert to fraction form
    417,620.56/576,320.60 = 226,635.60/x
  3. Step 3: Cross multiply
    417,620.56x = 576,320.60 × 226,635.60
  4. Step 4: Simplify right side
    417,620.56x = 130,614,764,973.36
  5. Step 5: Solve for x
    x = 130,614,764,973.36/417,620.56
  6. Step 6: Final answer
    x = 312,759.42

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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.