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Finding the Fourth Proportional to 397,549.23, 548,608.05 and 227,772.42

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Solution

The fourth proportional to 397,549.23, 548,608.05 and 227,772.42 is: 314,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,549.23 : 548,608.05 = 227,772.42 : x
  2. Step 2: Convert to fraction form
    397,549.23/548,608.05 = 227,772.42/x
  3. Step 3: Cross multiply
    397,549.23x = 548,608.05 × 227,772.42
  4. Step 4: Simplify right side
    397,549.23x = 124,957,783,179.98
  5. Step 5: Solve for x
    x = 124,957,783,179.98/397,549.23
  6. Step 6: Final answer
    x = 314,320.27

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1.5x scale

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.