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Finding the Fourth Proportional to 338,147, 466,642.02 and 194,905.88

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Solution

The fourth proportional to 338,147, 466,642.02 and 194,905.88 is: 268,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,147 : 466,642.02 = 194,905.88 : x
  2. Step 2: Convert to fraction form
    338,147/466,642.02 = 194,905.88/x
  3. Step 3: Cross multiply
    338,147x = 466,642.02 × 194,905.88
  4. Step 4: Simplify right side
    338,147x = 90,951,273,553.08
  5. Step 5: Solve for x
    x = 90,951,273,553.08/338,147
  6. Step 6: Final answer
    x = 268,969.63

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1.5x scale

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.