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Finding the Fourth Proportional to 322,857.20, 483,133.80 and 204,585.20

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Solution

The fourth proportional to 322,857.20, 483,133.80 and 204,585.20 is: 306,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,857.20 : 483,133.80 = 204,585.20 : x
  2. Step 2: Convert to fraction form
    322,857.20/483,133.80 = 204,585.20/x
  3. Step 3: Cross multiply
    322,857.20x = 483,133.80 × 204,585.20
  4. Step 4: Simplify right side
    322,857.20x = 98,842,025,099.76
  5. Step 5: Solve for x
    x = 98,842,025,099.76/322,857.20
  6. Step 6: Final answer
    x = 306,147.81

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Why These Related Problems?

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