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Finding the Fourth Proportional to 356,048.89, 491,348.09 and 194,904.04

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Solution

The fourth proportional to 356,048.89, 491,348.09 and 194,904.04 is: 268,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,048.89 : 491,348.09 = 194,904.04 : x
  2. Step 2: Convert to fraction form
    356,048.89/491,348.09 = 194,904.04/x
  3. Step 3: Cross multiply
    356,048.89x = 491,348.09 × 194,904.04
  4. Step 4: Simplify right side
    356,048.89x = 95,765,727,787.28
  5. Step 5: Solve for x
    x = 95,765,727,787.28/356,048.89
  6. Step 6: Final answer
    x = 268,967.92

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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.