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Finding the Fourth Proportional to 456,208.34, 629,512.56 and 252,231.71

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Solution

The fourth proportional to 456,208.34, 629,512.56 and 252,231.71 is: 348,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,208.34 : 629,512.56 = 252,231.71 : x
  2. Step 2: Convert to fraction form
    456,208.34/629,512.56 = 252,231.71/x
  3. Step 3: Cross multiply
    456,208.34x = 629,512.56 × 252,231.71
  4. Step 4: Simplify right side
    456,208.34x = 158,783,026,327.72
  5. Step 5: Solve for x
    x = 158,783,026,327.72/456,208.34
  6. Step 6: Final answer
    x = 348,049.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.