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Finding the Fourth Proportional to 273,635.20, 410,496 and 115,864.64

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Solution

The fourth proportional to 273,635.20, 410,496 and 115,864.64 is: 173,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,635.20 : 410,496 = 115,864.64 : x
  2. Step 2: Convert to fraction form
    273,635.20/410,496 = 115,864.64/x
  3. Step 3: Cross multiply
    273,635.20x = 410,496 × 115,864.64
  4. Step 4: Simplify right side
    273,635.20x = 47,561,971,261.44
  5. Step 5: Solve for x
    x = 47,561,971,261.44/273,635.20
  6. Step 6: Final answer
    x = 173,815.25

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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.