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Finding the Fourth Proportional to 417,698.40, 576,424.26 and 226,711.80

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Solution

The fourth proportional to 417,698.40, 576,424.26 and 226,711.80 is: 312,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,698.40 : 576,424.26 = 226,711.80 : x
  2. Step 2: Convert to fraction form
    417,698.40/576,424.26 = 226,711.80/x
  3. Step 3: Cross multiply
    417,698.40x = 576,424.26 × 226,711.80
  4. Step 4: Simplify right side
    417,698.40x = 130,682,181,548.27
  5. Step 5: Solve for x
    x = 130,682,181,548.27/417,698.40
  6. Step 6: Final answer
    x = 312,862.54

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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.