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Finding the Fourth Proportional to 599,717.80, 827,641.38 and 345,107.08

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Solution

The fourth proportional to 599,717.80, 827,641.38 and 345,107.08 is: 476,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,717.80 : 827,641.38 = 345,107.08 : x
  2. Step 2: Convert to fraction form
    599,717.80/827,641.38 = 345,107.08/x
  3. Step 3: Cross multiply
    599,717.80x = 827,641.38 × 345,107.08
  4. Step 4: Simplify right side
    599,717.80x = 285,624,899,938.97
  5. Step 5: Solve for x
    x = 285,624,899,938.97/599,717.80
  6. Step 6: Final answer
    x = 476,265.50

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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.