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Finding the Fourth Proportional to 304,410.46, 420,057.84 and 206,093.71

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Solution

The fourth proportional to 304,410.46, 420,057.84 and 206,093.71 is: 284,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,410.46 : 420,057.84 = 206,093.71 : x
  2. Step 2: Convert to fraction form
    304,410.46/420,057.84 = 206,093.71/x
  3. Step 3: Cross multiply
    304,410.46x = 420,057.84 × 206,093.71
  4. Step 4: Simplify right side
    304,410.46x = 86,571,278,660.19
  5. Step 5: Solve for x
    x = 86,571,278,660.19/304,410.46
  6. Step 6: Final answer
    x = 284,389.96

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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.