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Finding the Fourth Proportional to 322,951.36, 445,643.90 and 186,994.48

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Solution

The fourth proportional to 322,951.36, 445,643.90 and 186,994.48 is: 258,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,951.36 : 445,643.90 = 186,994.48 : x
  2. Step 2: Convert to fraction form
    322,951.36/445,643.90 = 186,994.48/x
  3. Step 3: Cross multiply
    322,951.36x = 445,643.90 × 186,994.48
  4. Step 4: Simplify right side
    322,951.36x = 83,332,949,086.53
  5. Step 5: Solve for x
    x = 83,332,949,086.53/322,951.36
  6. Step 6: Final answer
    x = 258,035.61

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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.