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Finding the Fourth Proportional to 338,265, 466,805.70 and 204,129

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Solution

The fourth proportional to 338,265, 466,805.70 and 204,129 is: 281,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,265 : 466,805.70 = 204,129 : x
  2. Step 2: Convert to fraction form
    338,265/466,805.70 = 204,129/x
  3. Step 3: Cross multiply
    338,265x = 466,805.70 × 204,129
  4. Step 4: Simplify right side
    338,265x = 95,288,580,735.30
  5. Step 5: Solve for x
    x = 95,288,580,735.30/338,265
  6. Step 6: Final answer
    x = 281,698.02

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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.