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Finding the Fourth Proportional to 297,446.49, 410,324.05 and 189,903.46

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Solution

The fourth proportional to 297,446.49, 410,324.05 and 189,903.46 is: 261,969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,446.49 : 410,324.05 = 189,903.46 : x
  2. Step 2: Convert to fraction form
    297,446.49/410,324.05 = 189,903.46/x
  3. Step 3: Cross multiply
    297,446.49x = 410,324.05 × 189,903.46
  4. Step 4: Simplify right side
    297,446.49x = 77,921,956,816.21
  5. Step 5: Solve for x
    x = 77,921,956,816.21/297,446.49
  6. Step 6: Final answer
    x = 261,969.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.