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Finding the Fourth Proportional to 576,826.38, 796,036.81 and 322,193.97

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Solution

The fourth proportional to 576,826.38, 796,036.81 and 322,193.97 is: 444,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,826.38 : 796,036.81 = 322,193.97 : x
  2. Step 2: Convert to fraction form
    576,826.38/796,036.81 = 322,193.97/x
  3. Step 3: Cross multiply
    576,826.38x = 796,036.81 × 322,193.97
  4. Step 4: Simplify right side
    576,826.38x = 256,478,263,023.69
  5. Step 5: Solve for x
    x = 256,478,263,023.69/576,826.38
  6. Step 6: Final answer
    x = 444,636.85

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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.