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Finding the Fourth Proportional to 413,619.52, 620,431.92 and 226,528.96

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Solution

The fourth proportional to 413,619.52, 620,431.92 and 226,528.96 is: 339,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,619.52 : 620,431.92 = 226,528.96 : x
  2. Step 2: Convert to fraction form
    413,619.52/620,431.92 = 226,528.96/x
  3. Step 3: Cross multiply
    413,619.52x = 620,431.92 × 226,528.96
  4. Step 4: Simplify right side
    413,619.52x = 140,545,797,588.40
  5. Step 5: Solve for x
    x = 140,545,797,588.40/413,619.52
  6. Step 6: Final answer
    x = 339,794.89

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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.