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Finding the Fourth Proportional to 324,581.94, 447,846.31 and 188,535.05

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Solution

The fourth proportional to 324,581.94, 447,846.31 and 188,535.05 is: 260,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,581.94 : 447,846.31 = 188,535.05 : x
  2. Step 2: Convert to fraction form
    324,581.94/447,846.31 = 188,535.05/x
  3. Step 3: Cross multiply
    324,581.94x = 447,846.31 × 188,535.05
  4. Step 4: Simplify right side
    324,581.94x = 84,434,726,448.17
  5. Step 5: Solve for x
    x = 84,434,726,448.17/324,581.94
  6. Step 6: Final answer
    x = 260,133.78

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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.