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Finding the Fourth Proportional to 397,320.40, 595,462.20 and 160,469.20

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Solution

The fourth proportional to 397,320.40, 595,462.20 and 160,469.20 is: 240,494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,320.40 : 595,462.20 = 160,469.20 : x
  2. Step 2: Convert to fraction form
    397,320.40/595,462.20 = 160,469.20/x
  3. Step 3: Cross multiply
    397,320.40x = 595,462.20 × 160,469.20
  4. Step 4: Simplify right side
    397,320.40x = 95,553,342,864.24
  5. Step 5: Solve for x
    x = 95,553,342,864.24/397,320.40
  6. Step 6: Final answer
    x = 240,494.43

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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.