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Finding the Fourth Proportional to 417,600.98, 576,289.36 and 226,614.38

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Solution

The fourth proportional to 417,600.98, 576,289.36 and 226,614.38 is: 312,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,600.98 : 576,289.36 = 226,614.38 : x
  2. Step 2: Convert to fraction form
    417,600.98/576,289.36 = 226,614.38/x
  3. Step 3: Cross multiply
    417,600.98x = 576,289.36 × 226,614.38
  4. Step 4: Simplify right side
    417,600.98x = 130,595,453,135.55
  5. Step 5: Solve for x
    x = 130,595,453,135.55/417,600.98
  6. Step 6: Final answer
    x = 312,727.84

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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.