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Finding the Fourth Proportional to 322,823, 445,474.68 and 179,577.92

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Solution

The fourth proportional to 322,823, 445,474.68 and 179,577.92 is: 247,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,823 : 445,474.68 = 179,577.92 : x
  2. Step 2: Convert to fraction form
    322,823/445,474.68 = 179,577.92/x
  3. Step 3: Cross multiply
    322,823x = 445,474.68 × 179,577.92
  4. Step 4: Simplify right side
    322,823x = 79,997,416,447.07
  5. Step 5: Solve for x
    x = 79,997,416,447.07/322,823
  6. Step 6: Final answer
    x = 247,805.81

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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.