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Finding the Fourth Proportional to 252,573.86, 379,672.74 and 203,202.33

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Solution

The fourth proportional to 252,573.86, 379,672.74 and 203,202.33 is: 305,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,573.86 : 379,672.74 = 203,202.33 : x
  2. Step 2: Convert to fraction form
    252,573.86/379,672.74 = 203,202.33/x
  3. Step 3: Cross multiply
    252,573.86x = 379,672.74 × 203,202.33
  4. Step 4: Simplify right side
    252,573.86x = 77,150,385,405.48
  5. Step 5: Solve for x
    x = 77,150,385,405.48/252,573.86
  6. Step 6: Final answer
    x = 305,456.74

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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.