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Finding the Fourth Proportional to 356,006.64, 491,287.84 and 192,662.80

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Solution

The fourth proportional to 356,006.64, 491,287.84 and 192,662.80 is: 265,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,006.64 : 491,287.84 = 192,662.80 : x
  2. Step 2: Convert to fraction form
    356,006.64/491,287.84 = 192,662.80/x
  3. Step 3: Cross multiply
    356,006.64x = 491,287.84 × 192,662.80
  4. Step 4: Simplify right side
    356,006.64x = 94,652,890,860.35
  5. Step 5: Solve for x
    x = 94,652,890,860.35/356,006.64
  6. Step 6: Final answer
    x = 265,873.95

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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.