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Finding the Fourth Proportional to 419,013.92, 628,250.44 and 179,284.28

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Solution

The fourth proportional to 419,013.92, 628,250.44 and 179,284.28 is: 268,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,013.92 : 628,250.44 = 179,284.28 : x
  2. Step 2: Convert to fraction form
    419,013.92/628,250.44 = 179,284.28/x
  3. Step 3: Cross multiply
    419,013.92x = 628,250.44 × 179,284.28
  4. Step 4: Simplify right side
    419,013.92x = 112,635,427,795.08
  5. Step 5: Solve for x
    x = 112,635,427,795.08/419,013.92
  6. Step 6: Final answer
    x = 268,810.71

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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.