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Finding the Fourth Proportional to 397,273.80, 547,701.22 and 269,727.96

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Solution

The fourth proportional to 397,273.80, 547,701.22 and 269,727.96 is: 371,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,273.80 : 547,701.22 = 269,727.96 : x
  2. Step 2: Convert to fraction form
    397,273.80/547,701.22 = 269,727.96/x
  3. Step 3: Cross multiply
    397,273.80x = 547,701.22 × 269,727.96
  4. Step 4: Simplify right side
    397,273.80x = 147,730,332,760.11
  5. Step 5: Solve for x
    x = 147,730,332,760.11/397,273.80
  6. Step 6: Final answer
    x = 371,860.25

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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.