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Finding the Fourth Proportional to 397,514.56, 548,608.80 and 296,737.60

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Solution

The fourth proportional to 397,514.56, 548,608.80 and 296,737.60 is: 409,526.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,514.56 : 548,608.80 = 296,737.60 : x
  2. Step 2: Convert to fraction form
    397,514.56/548,608.80 = 296,737.60/x
  3. Step 3: Cross multiply
    397,514.56x = 548,608.80 × 296,737.60
  4. Step 4: Simplify right side
    397,514.56x = 162,792,858,650.88
  5. Step 5: Solve for x
    x = 162,792,858,650.88/397,514.56
  6. Step 6: Final answer
    x = 409,526.78

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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.