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Finding the Fourth Proportional to 580,448.46, 800,991.94 and 322,341.79

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Solution

The fourth proportional to 580,448.46, 800,991.94 and 322,341.79 is: 444,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,448.46 : 800,991.94 = 322,341.79 : x
  2. Step 2: Convert to fraction form
    580,448.46/800,991.94 = 322,341.79/x
  3. Step 3: Cross multiply
    580,448.46x = 800,991.94 × 322,341.79
  4. Step 4: Simplify right side
    580,448.46x = 258,193,175,715.17
  5. Step 5: Solve for x
    x = 258,193,175,715.17/580,448.46
  6. Step 6: Final answer
    x = 444,816.71

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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.