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Finding the Fourth Proportional to 289,304.44, 399,274.24 and 161,955.42

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Solution

The fourth proportional to 289,304.44, 399,274.24 and 161,955.42 is: 223,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,304.44 : 399,274.24 = 161,955.42 : x
  2. Step 2: Convert to fraction form
    289,304.44/399,274.24 = 161,955.42/x
  3. Step 3: Cross multiply
    289,304.44x = 399,274.24 × 161,955.42
  4. Step 4: Simplify right side
    289,304.44x = 64,664,627,234.38
  5. Step 5: Solve for x
    x = 64,664,627,234.38/289,304.44
  6. Step 6: Final answer
    x = 223,517.58

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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.