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Finding the Fourth Proportional to 226,430.56, 339,324 and 166,797.28

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Solution

The fourth proportional to 226,430.56, 339,324 and 166,797.28 is: 249,958.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,430.56 : 339,324 = 166,797.28 : x
  2. Step 2: Convert to fraction form
    226,430.56/339,324 = 166,797.28/x
  3. Step 3: Cross multiply
    226,430.56x = 339,324 × 166,797.28
  4. Step 4: Simplify right side
    226,430.56x = 56,598,320,238.72
  5. Step 5: Solve for x
    x = 56,598,320,238.72/226,430.56
  6. Step 6: Final answer
    x = 249,958.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.