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Finding the Fourth Proportional to 580,078.50, 800,516.97 and 321,972.17

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Solution

The fourth proportional to 580,078.50, 800,516.97 and 321,972.17 is: 444,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,078.50 : 800,516.97 = 321,972.17 : x
  2. Step 2: Convert to fraction form
    580,078.50/800,516.97 = 321,972.17/x
  3. Step 3: Cross multiply
    580,078.50x = 800,516.97 × 321,972.17
  4. Step 4: Simplify right side
    580,078.50x = 257,744,181,950.14
  5. Step 5: Solve for x
    x = 257,744,181,950.14/580,078.50
  6. Step 6: Final answer
    x = 444,326.38

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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.