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Finding the Fourth Proportional to 599,863.83, 827,812.79 and 345,215.22

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Solution

The fourth proportional to 599,863.83, 827,812.79 and 345,215.22 is: 476,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,863.83 : 827,812.79 = 345,215.22 : x
  2. Step 2: Convert to fraction form
    599,863.83/827,812.79 = 345,215.22/x
  3. Step 3: Cross multiply
    599,863.83x = 827,812.79 × 345,215.22
  4. Step 4: Simplify right side
    599,863.83x = 285,773,574,418.66
  5. Step 5: Solve for x
    x = 285,773,574,418.66/599,863.83
  6. Step 6: Final answer
    x = 476,397.41

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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.