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Finding the Fourth Proportional to 338,684, 467,400.12 and 187,781

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Solution

The fourth proportional to 338,684, 467,400.12 and 187,781 is: 259,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,684 : 467,400.12 = 187,781 : x
  2. Step 2: Convert to fraction form
    338,684/467,400.12 = 187,781/x
  3. Step 3: Cross multiply
    338,684x = 467,400.12 × 187,781
  4. Step 4: Simplify right side
    338,684x = 87,768,861,933.72
  5. Step 5: Solve for x
    x = 87,768,861,933.72/338,684
  6. Step 6: Final answer
    x = 259,146.76

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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.