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Finding the Fourth Proportional to 289,082.70, 398,945.25 and 161,755.56

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Solution

The fourth proportional to 289,082.70, 398,945.25 and 161,755.56 is: 223,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,082.70 : 398,945.25 = 161,755.56 : x
  2. Step 2: Convert to fraction form
    289,082.70/398,945.25 = 161,755.56/x
  3. Step 3: Cross multiply
    289,082.70x = 398,945.25 × 161,755.56
  4. Step 4: Simplify right side
    289,082.70x = 64,531,612,323.09
  5. Step 5: Solve for x
    x = 64,531,612,323.09/289,082.70
  6. Step 6: Final answer
    x = 223,228.90

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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.