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Finding the Fourth Proportional to 531,099.59, 796,728.56 and 189,516.41

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Solution

The fourth proportional to 531,099.59, 796,728.56 and 189,516.41 is: 284,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,099.59 : 796,728.56 = 189,516.41 : x
  2. Step 2: Convert to fraction form
    531,099.59/796,728.56 = 189,516.41/x
  3. Step 3: Cross multiply
    531,099.59x = 796,728.56 × 189,516.41
  4. Step 4: Simplify right side
    531,099.59x = 150,993,131,504.45
  5. Step 5: Solve for x
    x = 150,993,131,504.45/531,099.59
  6. Step 6: Final answer
    x = 284,302.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.