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Finding the Fourth Proportional to 665,612.20, 998,418.30 and 413,669.80

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Solution

The fourth proportional to 665,612.20, 998,418.30 and 413,669.80 is: 620,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,612.20 : 998,418.30 = 413,669.80 : x
  2. Step 2: Convert to fraction form
    665,612.20/998,418.30 = 413,669.80/x
  3. Step 3: Cross multiply
    665,612.20x = 998,418.30 × 413,669.80
  4. Step 4: Simplify right side
    665,612.20x = 413,015,498,477.34
  5. Step 5: Solve for x
    x = 413,015,498,477.34/665,612.20
  6. Step 6: Final answer
    x = 620,504.70

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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.