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Finding the Fourth Proportional to 322,954.50, 445,677.21 and 181,642.50

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Solution

The fourth proportional to 322,954.50, 445,677.21 and 181,642.50 is: 250,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,954.50 : 445,677.21 = 181,642.50 : x
  2. Step 2: Convert to fraction form
    322,954.50/445,677.21 = 181,642.50/x
  3. Step 3: Cross multiply
    322,954.50x = 445,677.21 × 181,642.50
  4. Step 4: Simplify right side
    322,954.50x = 80,953,922,617.43
  5. Step 5: Solve for x
    x = 80,953,922,617.43/322,954.50
  6. Step 6: Final answer
    x = 250,666.65

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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.