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Finding the Fourth Proportional to 413,784.82, 620,949.39 and 226,927.54

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Solution

The fourth proportional to 413,784.82, 620,949.39 and 226,927.54 is: 340,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,784.82 : 620,949.39 = 226,927.54 : x
  2. Step 2: Convert to fraction form
    413,784.82/620,949.39 = 226,927.54/x
  3. Step 3: Cross multiply
    413,784.82x = 620,949.39 × 226,927.54
  4. Step 4: Simplify right side
    413,784.82x = 140,910,517,537.20
  5. Step 5: Solve for x
    x = 140,910,517,537.20/413,784.82
  6. Step 6: Final answer
    x = 340,540.57

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1.5x scale

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.