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Finding the Fourth Proportional to 466,906.60, 699,323.10 and 404,698.60

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Solution

The fourth proportional to 466,906.60, 699,323.10 and 404,698.60 is: 606,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,906.60 : 699,323.10 = 404,698.60 : x
  2. Step 2: Convert to fraction form
    466,906.60/699,323.10 = 404,698.60/x
  3. Step 3: Cross multiply
    466,906.60x = 699,323.10 × 404,698.60
  4. Step 4: Simplify right side
    466,906.60x = 283,015,079,517.66
  5. Step 5: Solve for x
    x = 283,015,079,517.66/466,906.60
  6. Step 6: Final answer
    x = 606,149.24

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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.