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Finding the Fourth Proportional to 417,439.10, 576,067.41 and 226,453.86

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Solution

The fourth proportional to 417,439.10, 576,067.41 and 226,453.86 is: 312,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,439.10 : 576,067.41 = 226,453.86 : x
  2. Step 2: Convert to fraction form
    417,439.10/576,067.41 = 226,453.86/x
  3. Step 3: Cross multiply
    417,439.10x = 576,067.41 × 226,453.86
  4. Step 4: Simplify right side
    417,439.10x = 130,452,688,614.70
  5. Step 5: Solve for x
    x = 130,452,688,614.70/417,439.10
  6. Step 6: Final answer
    x = 312,507.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.