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Finding the Fourth Proportional to 419,145.62, 628,365.76 and 182,309.92

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Solution

The fourth proportional to 419,145.62, 628,365.76 and 182,309.92 is: 273,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,145.62 : 628,365.76 = 182,309.92 : x
  2. Step 2: Convert to fraction form
    419,145.62/628,365.76 = 182,309.92/x
  3. Step 3: Cross multiply
    419,145.62x = 628,365.76 × 182,309.92
  4. Step 4: Simplify right side
    419,145.62x = 114,557,311,436.34
  5. Step 5: Solve for x
    x = 114,557,311,436.34/419,145.62
  6. Step 6: Final answer
    x = 273,311.48

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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.