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Finding the Fourth Proportional to 599,530.96, 827,519.56 and 344,964.16

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Solution

The fourth proportional to 599,530.96, 827,519.56 and 344,964.16 is: 476,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,530.96 : 827,519.56 = 344,964.16 : x
  2. Step 2: Convert to fraction form
    599,530.96/827,519.56 = 344,964.16/x
  3. Step 3: Cross multiply
    599,530.96x = 827,519.56 × 344,964.16
  4. Step 4: Simplify right side
    599,530.96x = 285,464,589,898.97
  5. Step 5: Solve for x
    x = 285,464,589,898.97/599,530.96
  6. Step 6: Final answer
    x = 476,146.54

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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.