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Finding the Fourth Proportional to 338,538, 467,197.68 and 193,356.40

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Solution

The fourth proportional to 338,538, 467,197.68 and 193,356.40 is: 266,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,538 : 467,197.68 = 193,356.40 : x
  2. Step 2: Convert to fraction form
    338,538/467,197.68 = 193,356.40/x
  3. Step 3: Cross multiply
    338,538x = 467,197.68 × 193,356.40
  4. Step 4: Simplify right side
    338,538x = 90,335,661,493.15
  5. Step 5: Solve for x
    x = 90,335,661,493.15/338,538
  6. Step 6: Final answer
    x = 266,840.54

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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.