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Finding the Fourth Proportional to 599,782.36, 827,566.32 and 345,133.56

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Solution

The fourth proportional to 599,782.36, 827,566.32 and 345,133.56 is: 476,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,782.36 : 827,566.32 = 345,133.56 : x
  2. Step 2: Convert to fraction form
    599,782.36/827,566.32 = 345,133.56/x
  3. Step 3: Cross multiply
    599,782.36x = 827,566.32 × 345,133.56
  4. Step 4: Simplify right side
    599,782.36x = 285,620,910,157.70
  5. Step 5: Solve for x
    x = 285,620,910,157.70/599,782.36
  6. Step 6: Final answer
    x = 476,207.59

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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.