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Finding the Fourth Proportional to 273,830.40, 410,054.40 and 179,827.20

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Solution

The fourth proportional to 273,830.40, 410,054.40 and 179,827.20 is: 269,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,830.40 : 410,054.40 = 179,827.20 : x
  2. Step 2: Convert to fraction form
    273,830.40/410,054.40 = 179,827.20/x
  3. Step 3: Cross multiply
    273,830.40x = 410,054.40 × 179,827.20
  4. Step 4: Simplify right side
    273,830.40x = 73,738,934,599.68
  5. Step 5: Solve for x
    x = 73,738,934,599.68/273,830.40
  6. Step 6: Final answer
    x = 269,286.88

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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.