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Finding the Fourth Proportional to 279,383.14, 386,000.40 and 194,877.46

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Solution

The fourth proportional to 279,383.14, 386,000.40 and 194,877.46 is: 269,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,383.14 : 386,000.40 = 194,877.46 : x
  2. Step 2: Convert to fraction form
    279,383.14/386,000.40 = 194,877.46/x
  3. Step 3: Cross multiply
    279,383.14x = 386,000.40 × 194,877.46
  4. Step 4: Simplify right side
    279,383.14x = 75,222,777,510.98
  5. Step 5: Solve for x
    x = 75,222,777,510.98/279,383.14
  6. Step 6: Final answer
    x = 269,245.94

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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.