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Finding the Fourth Proportional to 419,288.44, 628,780.38 and 182,574.04

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Solution

The fourth proportional to 419,288.44, 628,780.38 and 182,574.04 is: 273,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,288.44 : 628,780.38 = 182,574.04 : x
  2. Step 2: Convert to fraction form
    419,288.44/628,780.38 = 182,574.04/x
  3. Step 3: Cross multiply
    419,288.44x = 628,780.38 × 182,574.04
  4. Step 4: Simplify right side
    419,288.44x = 114,798,974,249.34
  5. Step 5: Solve for x
    x = 114,798,974,249.34/419,288.44
  6. Step 6: Final answer
    x = 273,794.75

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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.