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Finding the Fourth Proportional to 599,719.80, 827,644.14 and 345,109.08

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Solution

The fourth proportional to 599,719.80, 827,644.14 and 345,109.08 is: 476,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,719.80 : 827,644.14 = 345,109.08 : x
  2. Step 2: Convert to fraction form
    599,719.80/827,644.14 = 345,109.08/x
  3. Step 3: Cross multiply
    599,719.80x = 827,644.14 × 345,109.08
  4. Step 4: Simplify right side
    599,719.80x = 285,627,507,722.79
  5. Step 5: Solve for x
    x = 285,627,507,722.79/599,719.80
  6. Step 6: Final answer
    x = 476,268.26

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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.