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Finding the Fourth Proportional to 417,698.20, 576,424.18 and 226,711.68

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Solution

The fourth proportional to 417,698.20, 576,424.18 and 226,711.68 is: 312,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,698.20 : 576,424.18 = 226,711.68 : x
  2. Step 2: Convert to fraction form
    417,698.20/576,424.18 = 226,711.68/x
  3. Step 3: Cross multiply
    417,698.20x = 576,424.18 × 226,711.68
  4. Step 4: Simplify right side
    417,698.20x = 130,682,094,240.42
  5. Step 5: Solve for x
    x = 130,682,094,240.42/417,698.20
  6. Step 6: Final answer
    x = 312,862.48

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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.