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Finding the Fourth Proportional to 273,864.40, 410,796.60 and 76,872.40

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Solution

The fourth proportional to 273,864.40, 410,796.60 and 76,872.40 is: 115,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,864.40 : 410,796.60 = 76,872.40 : x
  2. Step 2: Convert to fraction form
    273,864.40/410,796.60 = 76,872.40/x
  3. Step 3: Cross multiply
    273,864.40x = 410,796.60 × 76,872.40
  4. Step 4: Simplify right side
    273,864.40x = 31,578,920,553.84
  5. Step 5: Solve for x
    x = 31,578,920,553.84/273,864.40
  6. Step 6: Final answer
    x = 115,308.60

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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.