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Finding the Fourth Proportional to 399,754.75, 599,798.19 and 174,999.49

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Solution

The fourth proportional to 399,754.75, 599,798.19 and 174,999.49 is: 262,571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,754.75 : 599,798.19 = 174,999.49 : x
  2. Step 2: Convert to fraction form
    399,754.75/599,798.19 = 174,999.49/x
  3. Step 3: Cross multiply
    399,754.75x = 599,798.19 × 174,999.49
  4. Step 4: Simplify right side
    399,754.75x = 104,964,377,352.92
  5. Step 5: Solve for x
    x = 104,964,377,352.92/399,754.75
  6. Step 6: Final answer
    x = 262,571.93

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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.