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Finding the Fourth Proportional to 419,496.14, 628,895.85 and 166,620.62

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Solution

The fourth proportional to 419,496.14, 628,895.85 and 166,620.62 is: 249,792.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,496.14 : 628,895.85 = 166,620.62 : x
  2. Step 2: Convert to fraction form
    419,496.14/628,895.85 = 166,620.62/x
  3. Step 3: Cross multiply
    419,496.14x = 628,895.85 × 166,620.62
  4. Step 4: Simplify right side
    419,496.14x = 104,787,016,442.43
  5. Step 5: Solve for x
    x = 104,787,016,442.43/419,496.14
  6. Step 6: Final answer
    x = 249,792.56

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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.