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Finding the Fourth Proportional to 419,907.28, 629,969.50 and 120,409.78

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Solution

The fourth proportional to 419,907.28, 629,969.50 and 120,409.78 is: 180,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907.28 : 629,969.50 = 120,409.78 : x
  2. Step 2: Convert to fraction form
    419,907.28/629,969.50 = 120,409.78/x
  3. Step 3: Cross multiply
    419,907.28x = 629,969.50 × 120,409.78
  4. Step 4: Simplify right side
    419,907.28x = 75,854,488,901.71
  5. Step 5: Solve for x
    x = 75,854,488,901.71/419,907.28
  6. Step 6: Final answer
    x = 180,645.81

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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.