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Finding the Fourth Proportional to 580,449.96, 800,994 and 322,343.30

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Solution

The fourth proportional to 580,449.96, 800,994 and 322,343.30 is: 444,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,449.96 : 800,994 = 322,343.30 : x
  2. Step 2: Convert to fraction form
    580,449.96/800,994 = 322,343.30/x
  3. Step 3: Cross multiply
    580,449.96x = 800,994 × 322,343.30
  4. Step 4: Simplify right side
    580,449.96x = 258,195,049,240.20
  5. Step 5: Solve for x
    x = 258,195,049,240.20/580,449.96
  6. Step 6: Final answer
    x = 444,818.79

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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.