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Finding the Fourth Proportional to 413,067.70, 619,601.55 and 397,321.30

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Solution

The fourth proportional to 413,067.70, 619,601.55 and 397,321.30 is: 595,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,067.70 : 619,601.55 = 397,321.30 : x
  2. Step 2: Convert to fraction form
    413,067.70/619,601.55 = 397,321.30/x
  3. Step 3: Cross multiply
    413,067.70x = 619,601.55 × 397,321.30
  4. Step 4: Simplify right side
    413,067.70x = 246,180,893,328.02
  5. Step 5: Solve for x
    x = 246,180,893,328.02/413,067.70
  6. Step 6: Final answer
    x = 595,981.95

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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.