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Finding the Fourth Proportional to 412,567.52, 618,731.22 and 159,791.63

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Solution

The fourth proportional to 412,567.52, 618,731.22 and 159,791.63 is: 239,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,567.52 : 618,731.22 = 159,791.63 : x
  2. Step 2: Convert to fraction form
    412,567.52/618,731.22 = 159,791.63/x
  3. Step 3: Cross multiply
    412,567.52x = 618,731.22 × 159,791.63
  4. Step 4: Simplify right side
    412,567.52x = 98,868,067,082.03
  5. Step 5: Solve for x
    x = 98,868,067,082.03/412,567.52
  6. Step 6: Final answer
    x = 239,640.94

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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.