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Finding the Fourth Proportional to 305,819.68, 422,028.24 and 171,682.72

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Solution

The fourth proportional to 305,819.68, 422,028.24 and 171,682.72 is: 236,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,819.68 : 422,028.24 = 171,682.72 : x
  2. Step 2: Convert to fraction form
    305,819.68/422,028.24 = 171,682.72/x
  3. Step 3: Cross multiply
    305,819.68x = 422,028.24 × 171,682.72
  4. Step 4: Simplify right side
    305,819.68x = 72,454,956,160.01
  5. Step 5: Solve for x
    x = 72,454,956,160.01/305,819.68
  6. Step 6: Final answer
    x = 236,920.52

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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.