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Finding the Fourth Proportional to 399,424.25, 599,321.61 and 174,755.06

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Solution

The fourth proportional to 399,424.25, 599,321.61 and 174,755.06 is: 262,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,424.25 : 599,321.61 = 174,755.06 : x
  2. Step 2: Convert to fraction form
    399,424.25/599,321.61 = 174,755.06/x
  3. Step 3: Cross multiply
    399,424.25x = 599,321.61 × 174,755.06
  4. Step 4: Simplify right side
    399,424.25x = 104,734,483,914.85
  5. Step 5: Solve for x
    x = 104,734,483,914.85/399,424.25
  6. Step 6: Final answer
    x = 262,213.63

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Why These Related Problems?

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