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Finding the Fourth Proportional to 580,144.68, 800,590.50 and 322,021.44

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Solution

The fourth proportional to 580,144.68, 800,590.50 and 322,021.44 is: 444,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,144.68 : 800,590.50 = 322,021.44 : x
  2. Step 2: Convert to fraction form
    580,144.68/800,590.50 = 322,021.44/x
  3. Step 3: Cross multiply
    580,144.68x = 800,590.50 × 322,021.44
  4. Step 4: Simplify right side
    580,144.68x = 257,807,305,660.32
  5. Step 5: Solve for x
    x = 257,807,305,660.32/580,144.68
  6. Step 6: Final answer
    x = 444,384.50

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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.