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Finding the Fourth Proportional to 419,769.20, 629,730.60 and 170,476.40

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Solution

The fourth proportional to 419,769.20, 629,730.60 and 170,476.40 is: 255,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,769.20 : 629,730.60 = 170,476.40 : x
  2. Step 2: Convert to fraction form
    419,769.20/629,730.60 = 170,476.40/x
  3. Step 3: Cross multiply
    419,769.20x = 629,730.60 × 170,476.40
  4. Step 4: Simplify right side
    419,769.20x = 107,354,205,657.84
  5. Step 5: Solve for x
    x = 107,354,205,657.84/419,769.20
  6. Step 6: Final answer
    x = 255,745.79

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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.