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Finding the Fourth Proportional to 896,093, 1,236,608.34 and 493,693.64

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Solution

The fourth proportional to 896,093, 1,236,608.34 and 493,693.64 is: 681,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,093 : 1,236,608.34 = 493,693.64 : x
  2. Step 2: Convert to fraction form
    896,093/1,236,608.34 = 493,693.64/x
  3. Step 3: Cross multiply
    896,093x = 1,236,608.34 × 493,693.64
  4. Step 4: Simplify right side
    896,093x = 610,505,672,628.96
  5. Step 5: Solve for x
    x = 610,505,672,628.96/896,093
  6. Step 6: Final answer
    x = 681,297.22

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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.