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Finding the Fourth Proportional to 599,589.68, 827,443.96 and 357,825.33

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Solution

The fourth proportional to 599,589.68, 827,443.96 and 357,825.33 is: 493,805.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,589.68 : 827,443.96 = 357,825.33 : x
  2. Step 2: Convert to fraction form
    599,589.68/827,443.96 = 357,825.33/x
  3. Step 3: Cross multiply
    599,589.68x = 827,443.96 × 357,825.33
  4. Step 4: Simplify right side
    599,589.68x = 296,080,407,148.94
  5. Step 5: Solve for x
    x = 296,080,407,148.94/599,589.68
  6. Step 6: Final answer
    x = 493,805.05

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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.