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Finding the Fourth Proportional to 580,371.80, 800,914.64 and 322,249.24

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Solution

The fourth proportional to 580,371.80, 800,914.64 and 322,249.24 is: 444,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,371.80 : 800,914.64 = 322,249.24 : x
  2. Step 2: Convert to fraction form
    580,371.80/800,914.64 = 322,249.24/x
  3. Step 3: Cross multiply
    580,371.80x = 800,914.64 × 322,249.24
  4. Step 4: Simplify right side
    580,371.80x = 258,094,134,044.87
  5. Step 5: Solve for x
    x = 258,094,134,044.87/580,371.80
  6. Step 6: Final answer
    x = 444,704.82

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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.