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Finding the Fourth Proportional to 580,178.14, 800,633.16 and 322,039.92

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Solution

The fourth proportional to 580,178.14, 800,633.16 and 322,039.92 is: 444,408.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,178.14 : 800,633.16 = 322,039.92 : x
  2. Step 2: Convert to fraction form
    580,178.14/800,633.16 = 322,039.92/x
  3. Step 3: Cross multiply
    580,178.14x = 800,633.16 × 322,039.92
  4. Step 4: Simplify right side
    580,178.14x = 257,835,838,795.75
  5. Step 5: Solve for x
    x = 257,835,838,795.75/580,178.14
  6. Step 6: Final answer
    x = 444,408.06

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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.