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Finding the Fourth Proportional to 419,906.90, 629,968.94 and 120,409.40

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Solution

The fourth proportional to 419,906.90, 629,968.94 and 120,409.40 is: 180,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906.90 : 629,968.94 = 120,409.40 : x
  2. Step 2: Convert to fraction form
    419,906.90/629,968.94 = 120,409.40/x
  3. Step 3: Cross multiply
    419,906.90x = 629,968.94 × 120,409.40
  4. Step 4: Simplify right side
    419,906.90x = 75,854,182,084.04
  5. Step 5: Solve for x
    x = 75,854,182,084.04/419,906.90
  6. Step 6: Final answer
    x = 180,645.24

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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.