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Finding the Fourth Proportional to 289,091.82, 398,963.43 and 161,766.30

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Solution

The fourth proportional to 289,091.82, 398,963.43 and 161,766.30 is: 223,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,091.82 : 398,963.43 = 161,766.30 : x
  2. Step 2: Convert to fraction form
    289,091.82/398,963.43 = 161,766.30/x
  3. Step 3: Cross multiply
    289,091.82x = 398,963.43 × 161,766.30
  4. Step 4: Simplify right side
    289,091.82x = 64,538,837,906.41
  5. Step 5: Solve for x
    x = 64,538,837,906.41/289,091.82
  6. Step 6: Final answer
    x = 223,246.85

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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.