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Finding the Fourth Proportional to 580,446.30, 800,971.83 and 325,748.22

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Solution

The fourth proportional to 580,446.30, 800,971.83 and 325,748.22 is: 449,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,446.30 : 800,971.83 = 325,748.22 : x
  2. Step 2: Convert to fraction form
    580,446.30/800,971.83 = 325,748.22/x
  3. Step 3: Cross multiply
    580,446.30x = 800,971.83 × 325,748.22
  4. Step 4: Simplify right side
    580,446.30x = 260,915,147,892.64
  5. Step 5: Solve for x
    x = 260,915,147,892.64/580,446.30
  6. Step 6: Final answer
    x = 449,507.81

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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.