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Finding the Fourth Proportional to 297,534.80, 410,446.20 and 189,991.76

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Solution

The fourth proportional to 297,534.80, 410,446.20 and 189,991.76 is: 262,091.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,534.80 : 410,446.20 = 189,991.76 : x
  2. Step 2: Convert to fraction form
    297,534.80/410,446.20 = 189,991.76/x
  3. Step 3: Cross multiply
    297,534.80x = 410,446.20 × 189,991.76
  4. Step 4: Simplify right side
    297,534.80x = 77,981,395,923.31
  5. Step 5: Solve for x
    x = 77,981,395,923.31/297,534.80
  6. Step 6: Final answer
    x = 262,091.68

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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.