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Finding the Fourth Proportional to 610,338.44, 842,262.91 and 338,406.46

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Solution

The fourth proportional to 610,338.44, 842,262.91 and 338,406.46 is: 466,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,338.44 : 842,262.91 = 338,406.46 : x
  2. Step 2: Convert to fraction form
    610,338.44/842,262.91 = 338,406.46/x
  3. Step 3: Cross multiply
    610,338.44x = 842,262.91 × 338,406.46
  4. Step 4: Simplify right side
    610,338.44x = 285,027,206,810.73
  5. Step 5: Solve for x
    x = 285,027,206,810.73/610,338.44
  6. Step 6: Final answer
    x = 466,998.61

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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.