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Finding the Fourth Proportional to 264,694.91, 397,043.64 and 65,015.33

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Solution

The fourth proportional to 264,694.91, 397,043.64 and 65,015.33 is: 97,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,694.91 : 397,043.64 = 65,015.33 : x
  2. Step 2: Convert to fraction form
    264,694.91/397,043.64 = 65,015.33/x
  3. Step 3: Cross multiply
    264,694.91x = 397,043.64 × 65,015.33
  4. Step 4: Simplify right side
    264,694.91x = 25,813,921,293.78
  5. Step 5: Solve for x
    x = 25,813,921,293.78/264,694.91
  6. Step 6: Final answer
    x = 97,523.30

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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.