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Finding the Fourth Proportional to 419,390.40, 629,078.40 and 103,847.52

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Solution

The fourth proportional to 419,390.40, 629,078.40 and 103,847.52 is: 155,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,390.40 : 629,078.40 = 103,847.52 : x
  2. Step 2: Convert to fraction form
    419,390.40/629,078.40 = 103,847.52/x
  3. Step 3: Cross multiply
    419,390.40x = 629,078.40 × 103,847.52
  4. Step 4: Simplify right side
    419,390.40x = 65,328,231,725.57
  5. Step 5: Solve for x
    x = 65,328,231,725.57/419,390.40
  6. Step 6: Final answer
    x = 155,769.50

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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.