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Finding the Fourth Proportional to 419,704.40, 629,710.20 and 170,411.60

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Solution

The fourth proportional to 419,704.40, 629,710.20 and 170,411.60 is: 255,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,704.40 : 629,710.20 = 170,411.60 : x
  2. Step 2: Convert to fraction form
    419,704.40/629,710.20 = 170,411.60/x
  3. Step 3: Cross multiply
    419,704.40x = 629,710.20 × 170,411.60
  4. Step 4: Simplify right side
    419,704.40x = 107,309,922,718.32
  5. Step 5: Solve for x
    x = 107,309,922,718.32/419,704.40
  6. Step 6: Final answer
    x = 255,679.77

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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.