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Finding the Fourth Proportional to 338,214, 466,716.60 and 187,299.12

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Solution

The fourth proportional to 338,214, 466,716.60 and 187,299.12 is: 258,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,214 : 466,716.60 = 187,299.12 : x
  2. Step 2: Convert to fraction form
    338,214/466,716.60 = 187,299.12/x
  3. Step 3: Cross multiply
    338,214x = 466,716.60 × 187,299.12
  4. Step 4: Simplify right side
    338,214x = 87,415,608,469.39
  5. Step 5: Solve for x
    x = 87,415,608,469.39/338,214
  6. Step 6: Final answer
    x = 258,462.42

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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.