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Finding the Fourth Proportional to 338,564.91, 467,234.73 and 193,383.30

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Solution

The fourth proportional to 338,564.91, 467,234.73 and 193,383.30 is: 266,877.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,564.91 : 467,234.73 = 193,383.30 : x
  2. Step 2: Convert to fraction form
    338,564.91/467,234.73 = 193,383.30/x
  3. Step 3: Cross multiply
    338,564.91x = 467,234.73 × 193,383.30
  4. Step 4: Simplify right side
    338,564.91x = 90,355,393,962.01
  5. Step 5: Solve for x
    x = 90,355,393,962.01/338,564.91
  6. Step 6: Final answer
    x = 266,877.61

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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.