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Finding the Fourth Proportional to 442,664.20, 664,082.70 and 189,944.20

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Solution

The fourth proportional to 442,664.20, 664,082.70 and 189,944.20 is: 284,953.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,664.20 : 664,082.70 = 189,944.20 : x
  2. Step 2: Convert to fraction form
    442,664.20/664,082.70 = 189,944.20/x
  3. Step 3: Cross multiply
    442,664.20x = 664,082.70 × 189,944.20
  4. Step 4: Simplify right side
    442,664.20x = 126,138,657,185.34
  5. Step 5: Solve for x
    x = 126,138,657,185.34/442,664.20
  6. Step 6: Final answer
    x = 284,953.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.