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Finding the Fourth Proportional to 599,366, 827,148.84 and 344,716.88

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Solution

The fourth proportional to 599,366, 827,148.84 and 344,716.88 is: 475,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,366 : 827,148.84 = 344,716.88 : x
  2. Step 2: Convert to fraction form
    599,366/827,148.84 = 344,716.88/x
  3. Step 3: Cross multiply
    599,366x = 827,148.84 × 344,716.88
  4. Step 4: Simplify right side
    599,366x = 285,132,167,420.42
  5. Step 5: Solve for x
    x = 285,132,167,420.42/599,366
  6. Step 6: Final answer
    x = 475,722.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.