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Finding the Fourth Proportional to 417,758.34, 576,507.24 and 226,771.86

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Solution

The fourth proportional to 417,758.34, 576,507.24 and 226,771.86 is: 312,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,758.34 : 576,507.24 = 226,771.86 : x
  2. Step 2: Convert to fraction form
    417,758.34/576,507.24 = 226,771.86/x
  3. Step 3: Cross multiply
    417,758.34x = 576,507.24 × 226,771.86
  4. Step 4: Simplify right side
    417,758.34x = 130,735,619,118.27
  5. Step 5: Solve for x
    x = 130,735,619,118.27/417,758.34
  6. Step 6: Final answer
    x = 312,945.56

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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.