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Finding the Fourth Proportional to 322,165.75, 444,562.71 and 186,208.50

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Solution

The fourth proportional to 322,165.75, 444,562.71 and 186,208.50 is: 256,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,165.75 : 444,562.71 = 186,208.50 : x
  2. Step 2: Convert to fraction form
    322,165.75/444,562.71 = 186,208.50/x
  3. Step 3: Cross multiply
    322,165.75x = 444,562.71 × 186,208.50
  4. Step 4: Simplify right side
    322,165.75x = 82,781,355,385.04
  5. Step 5: Solve for x
    x = 82,781,355,385.04/322,165.75
  6. Step 6: Final answer
    x = 256,952.69

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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.