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Finding the Fourth Proportional to 580,185.15, 800,642.82 and 322,046.92

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Solution

The fourth proportional to 580,185.15, 800,642.82 and 322,046.92 is: 444,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,185.15 : 800,642.82 = 322,046.92 : x
  2. Step 2: Convert to fraction form
    580,185.15/800,642.82 = 322,046.92/x
  3. Step 3: Cross multiply
    580,185.15x = 800,642.82 × 322,046.92
  4. Step 4: Simplify right side
    580,185.15x = 257,844,554,201.11
  5. Step 5: Solve for x
    x = 257,844,554,201.11/580,185.15
  6. Step 6: Final answer
    x = 444,417.71

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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.