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Finding the Fourth Proportional to 264,891.39, 397,333.36 and 65,213.43

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Solution

The fourth proportional to 264,891.39, 397,333.36 and 65,213.43 is: 97,819.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,891.39 : 397,333.36 = 65,213.43 : x
  2. Step 2: Convert to fraction form
    264,891.39/397,333.36 = 65,213.43/x
  3. Step 3: Cross multiply
    264,891.39x = 397,333.36 × 65,213.43
  4. Step 4: Simplify right side
    264,891.39x = 25,911,471,259.02
  5. Step 5: Solve for x
    x = 25,911,471,259.02/264,891.39
  6. Step 6: Final answer
    x = 97,819.23

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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.