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Finding the Fourth Proportional to 338,782.71, 467,508.38 and 187,893.75

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Solution

The fourth proportional to 338,782.71, 467,508.38 and 187,893.75 is: 259,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,782.71 : 467,508.38 = 187,893.75 : x
  2. Step 2: Convert to fraction form
    338,782.71/467,508.38 = 187,893.75/x
  3. Step 3: Cross multiply
    338,782.71x = 467,508.38 × 187,893.75
  4. Step 4: Simplify right side
    338,782.71x = 87,841,902,674.63
  5. Step 5: Solve for x
    x = 87,841,902,674.63/338,782.71
  6. Step 6: Final answer
    x = 259,286.85

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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.