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Finding the Fourth Proportional to 580,447.96, 800,991.26 and 322,341.30

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Solution

The fourth proportional to 580,447.96, 800,991.26 and 322,341.30 is: 444,816.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,447.96 : 800,991.26 = 322,341.30 : x
  2. Step 2: Convert to fraction form
    580,447.96/800,991.26 = 322,341.30/x
  3. Step 3: Cross multiply
    580,447.96x = 800,991.26 × 322,341.30
  4. Step 4: Simplify right side
    580,447.96x = 258,192,564,037.04
  5. Step 5: Solve for x
    x = 258,192,564,037.04/580,447.96
  6. Step 6: Final answer
    x = 444,816.04

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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.