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Finding the Fourth Proportional to 353,954.94, 488,442.04 and 206,793.44

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Solution

The fourth proportional to 353,954.94, 488,442.04 and 206,793.44 is: 285,365.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,954.94 : 488,442.04 = 206,793.44 : x
  2. Step 2: Convert to fraction form
    353,954.94/488,442.04 = 206,793.44/x
  3. Step 3: Cross multiply
    353,954.94x = 488,442.04 × 206,793.44
  4. Step 4: Simplify right side
    353,954.94x = 101,006,609,692.22
  5. Step 5: Solve for x
    x = 101,006,609,692.22/353,954.94
  6. Step 6: Final answer
    x = 285,365.73

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1.5x scale

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.