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Finding the Fourth Proportional to 599,589.12, 827,334.77 and 354,539.82

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Solution

The fourth proportional to 599,589.12, 827,334.77 and 354,539.82 is: 489,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,589.12 : 827,334.77 = 354,539.82 : x
  2. Step 2: Convert to fraction form
    599,589.12/827,334.77 = 354,539.82/x
  3. Step 3: Cross multiply
    599,589.12x = 827,334.77 × 354,539.82
  4. Step 4: Simplify right side
    599,589.12x = 293,323,118,662.84
  5. Step 5: Solve for x
    x = 293,323,118,662.84/599,589.12
  6. Step 6: Final answer
    x = 489,206.87

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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.