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Finding the Fourth Proportional to 422,340.57, 633,593.52 and 185,682.51

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Solution

The fourth proportional to 422,340.57, 633,593.52 and 185,682.51 is: 278,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,340.57 : 633,593.52 = 185,682.51 : x
  2. Step 2: Convert to fraction form
    422,340.57/633,593.52 = 185,682.51/x
  3. Step 3: Cross multiply
    422,340.57x = 633,593.52 × 185,682.51
  4. Step 4: Simplify right side
    422,340.57x = 117,647,235,113.34
  5. Step 5: Solve for x
    x = 117,647,235,113.34/422,340.57
  6. Step 6: Final answer
    x = 278,560.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.