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Finding the Fourth Proportional to 419,713.80, 629,570.70 and 331,240.20

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Solution

The fourth proportional to 419,713.80, 629,570.70 and 331,240.20 is: 496,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,713.80 : 629,570.70 = 331,240.20 : x
  2. Step 2: Convert to fraction form
    419,713.80/629,570.70 = 331,240.20/x
  3. Step 3: Cross multiply
    419,713.80x = 629,570.70 × 331,240.20
  4. Step 4: Simplify right side
    419,713.80x = 208,539,124,582.14
  5. Step 5: Solve for x
    x = 208,539,124,582.14/419,713.80
  6. Step 6: Final answer
    x = 496,860.30

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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.