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Finding the Fourth Proportional to 338,247, 466,795.71 and 187,344

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Solution

The fourth proportional to 338,247, 466,795.71 and 187,344 is: 258,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,247 : 466,795.71 = 187,344 : x
  2. Step 2: Convert to fraction form
    338,247/466,795.71 = 187,344/x
  3. Step 3: Cross multiply
    338,247x = 466,795.71 × 187,344
  4. Step 4: Simplify right side
    338,247x = 87,451,375,494.24
  5. Step 5: Solve for x
    x = 87,451,375,494.24/338,247
  6. Step 6: Final answer
    x = 258,542.94

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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.