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Finding the Fourth Proportional to 288,092.91, 397,520.67 and 160,768.20

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Solution

The fourth proportional to 288,092.91, 397,520.67 and 160,768.20 is: 221,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,092.91 : 397,520.67 = 160,768.20 : x
  2. Step 2: Convert to fraction form
    288,092.91/397,520.67 = 160,768.20/x
  3. Step 3: Cross multiply
    288,092.91x = 397,520.67 × 160,768.20
  4. Step 4: Simplify right side
    288,092.91x = 63,908,682,578.69
  5. Step 5: Solve for x
    x = 63,908,682,578.69/288,092.91
  6. Step 6: Final answer
    x = 221,833.58

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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.