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Finding the Fourth Proportional to 356,084.22, 491,396.19 and 194,938.77

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Solution

The fourth proportional to 356,084.22, 491,396.19 and 194,938.77 is: 269,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,084.22 : 491,396.19 = 194,938.77 : x
  2. Step 2: Convert to fraction form
    356,084.22/491,396.19 = 194,938.77/x
  3. Step 3: Cross multiply
    356,084.22x = 491,396.19 × 194,938.77
  4. Step 4: Simplify right side
    356,084.22x = 95,792,168,861.29
  5. Step 5: Solve for x
    x = 95,792,168,861.29/356,084.22
  6. Step 6: Final answer
    x = 269,015.48

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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.