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Finding the Fourth Proportional to 356,114.73, 491,438.35 and 194,969.80

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Solution

The fourth proportional to 356,114.73, 491,438.35 and 194,969.80 is: 269,058.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,114.73 : 491,438.35 = 194,969.80 : x
  2. Step 2: Convert to fraction form
    356,114.73/491,438.35 = 194,969.80/x
  3. Step 3: Cross multiply
    356,114.73x = 491,438.35 × 194,969.80
  4. Step 4: Simplify right side
    356,114.73x = 95,815,635,253.87
  5. Step 5: Solve for x
    x = 95,815,635,253.87/356,114.73
  6. Step 6: Final answer
    x = 269,058.33

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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.