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Finding the Fourth Proportional to 288,093.41, 397,569.24 and 160,768.97

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Solution

The fourth proportional to 288,093.41, 397,569.24 and 160,768.97 is: 221,861.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,093.41 : 397,569.24 = 160,768.97 : x
  2. Step 2: Convert to fraction form
    288,093.41/397,569.24 = 160,768.97/x
  3. Step 3: Cross multiply
    288,093.41x = 397,569.24 × 160,768.97
  4. Step 4: Simplify right side
    288,093.41x = 63,916,796,414.64
  5. Step 5: Solve for x
    x = 63,916,796,414.64/288,093.41
  6. Step 6: Final answer
    x = 221,861.36

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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.