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Finding the Fourth Proportional to 338,380, 466,958.23 and 200,651.59

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Solution

The fourth proportional to 338,380, 466,958.23 and 200,651.59 is: 276,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,380 : 466,958.23 = 200,651.59 : x
  2. Step 2: Convert to fraction form
    338,380/466,958.23 = 200,651.59/x
  3. Step 3: Cross multiply
    338,380x = 466,958.23 × 200,651.59
  4. Step 4: Simplify right side
    338,380x = 93,695,911,313.09
  5. Step 5: Solve for x
    x = 93,695,911,313.09/338,380
  6. Step 6: Final answer
    x = 276,895.54

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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.