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Finding the Fourth Proportional to 599,722.80, 827,648.28 and 345,112.08

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Solution

The fourth proportional to 599,722.80, 827,648.28 and 345,112.08 is: 476,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,722.80 : 827,648.28 = 345,112.08 : x
  2. Step 2: Convert to fraction form
    599,722.80/827,648.28 = 345,112.08/x
  3. Step 3: Cross multiply
    599,722.80x = 827,648.28 × 345,112.08
  4. Step 4: Simplify right side
    599,722.80x = 285,631,419,419.22
  5. Step 5: Solve for x
    x = 285,631,419,419.22/599,722.80
  6. Step 6: Final answer
    x = 476,272.40

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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.