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Finding the Fourth Proportional to 399,709.44, 599,287.68 and 174,961.92

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Solution

The fourth proportional to 399,709.44, 599,287.68 and 174,961.92 is: 262,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,709.44 : 599,287.68 = 174,961.92 : x
  2. Step 2: Convert to fraction form
    399,709.44/599,287.68 = 174,961.92/x
  3. Step 3: Cross multiply
    399,709.44x = 599,287.68 × 174,961.92
  4. Step 4: Simplify right side
    399,709.44x = 104,852,523,125.15
  5. Step 5: Solve for x
    x = 104,852,523,125.15/399,709.44
  6. Step 6: Final answer
    x = 262,321.86

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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.