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Finding the Fourth Proportional to 580,145.64, 800,588.44 and 322,007.44

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Solution

The fourth proportional to 580,145.64, 800,588.44 and 322,007.44 is: 444,363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,145.64 : 800,588.44 = 322,007.44 : x
  2. Step 2: Convert to fraction form
    580,145.64/800,588.44 = 322,007.44/x
  3. Step 3: Cross multiply
    580,145.64x = 800,588.44 × 322,007.44
  4. Step 4: Simplify right side
    580,145.64x = 257,795,434,057.99
  5. Step 5: Solve for x
    x = 257,795,434,057.99/580,145.64
  6. Step 6: Final answer
    x = 444,363.31

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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.