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Finding the Fourth Proportional to 413,615.52, 620,425.92 and 226,524.96

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Solution

The fourth proportional to 413,615.52, 620,425.92 and 226,524.96 is: 339,788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,615.52 : 620,425.92 = 226,524.96 : x
  2. Step 2: Convert to fraction form
    413,615.52/620,425.92 = 226,524.96/x
  3. Step 3: Cross multiply
    413,615.52x = 620,425.92 × 226,524.96
  4. Step 4: Simplify right side
    413,615.52x = 140,541,956,710.96
  5. Step 5: Solve for x
    x = 140,541,956,710.96/413,615.52
  6. Step 6: Final answer
    x = 339,788.89

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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.