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Finding the Fourth Proportional to 599,049.36, 898,512.48 and 199,647

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Solution

The fourth proportional to 599,049.36, 898,512.48 and 199,647 is: 299,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,049.36 : 898,512.48 = 199,647 : x
  2. Step 2: Convert to fraction form
    599,049.36/898,512.48 = 199,647/x
  3. Step 3: Cross multiply
    599,049.36x = 898,512.48 × 199,647
  4. Step 4: Simplify right side
    599,049.36x = 179,385,321,094.56
  5. Step 5: Solve for x
    x = 179,385,321,094.56/599,049.36
  6. Step 6: Final answer
    x = 299,449.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.