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Finding the Fourth Proportional to 304,065.29, 419,621.92 and 201,914.61

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Solution

The fourth proportional to 304,065.29, 419,621.92 and 201,914.61 is: 278,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,065.29 : 419,621.92 = 201,914.61 : x
  2. Step 2: Convert to fraction form
    304,065.29/419,621.92 = 201,914.61/x
  3. Step 3: Cross multiply
    304,065.29x = 419,621.92 × 201,914.61
  4. Step 4: Simplify right side
    304,065.29x = 84,727,794,245.88
  5. Step 5: Solve for x
    x = 84,727,794,245.88/304,065.29
  6. Step 6: Final answer
    x = 278,650.00

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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.