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Finding the Fourth Proportional to 522,363.27, 720,964.70 and 338,829.29

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Solution

The fourth proportional to 522,363.27, 720,964.70 and 338,829.29 is: 467,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,363.27 : 720,964.70 = 338,829.29 : x
  2. Step 2: Convert to fraction form
    522,363.27/720,964.70 = 338,829.29/x
  3. Step 3: Cross multiply
    522,363.27x = 720,964.70 × 338,829.29
  4. Step 4: Simplify right side
    522,363.27x = 244,283,957,361.93
  5. Step 5: Solve for x
    x = 244,283,957,361.93/522,363.27
  6. Step 6: Final answer
    x = 467,651.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.