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Finding the Fourth Proportional to 273,933, 410,940.38 and 84,377.50

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Solution

The fourth proportional to 273,933, 410,940.38 and 84,377.50 is: 126,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,933 : 410,940.38 = 84,377.50 : x
  2. Step 2: Convert to fraction form
    273,933/410,940.38 = 84,377.50/x
  3. Step 3: Cross multiply
    273,933x = 410,940.38 × 84,377.50
  4. Step 4: Simplify right side
    273,933x = 34,674,121,097.04
  5. Step 5: Solve for x
    x = 34,674,121,097.04/273,933
  6. Step 6: Final answer
    x = 126,578.84

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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.