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Finding the Fourth Proportional to 493,494.20, 740,414.10 and 213,212.60

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Solution

The fourth proportional to 493,494.20, 740,414.10 and 213,212.60 is: 319,893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,494.20 : 740,414.10 = 213,212.60 : x
  2. Step 2: Convert to fraction form
    493,494.20/740,414.10 = 213,212.60/x
  3. Step 3: Cross multiply
    493,494.20x = 740,414.10 × 213,212.60
  4. Step 4: Simplify right side
    493,494.20x = 157,865,615,337.66
  5. Step 5: Solve for x
    x = 157,865,615,337.66/493,494.20
  6. Step 6: Final answer
    x = 319,893.56

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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.