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Finding the Fourth Proportional to 379,662.34, 523,942.32 and 226,672.02

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Solution

The fourth proportional to 379,662.34, 523,942.32 and 226,672.02 is: 312,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,662.34 : 523,942.32 = 226,672.02 : x
  2. Step 2: Convert to fraction form
    379,662.34/523,942.32 = 226,672.02/x
  3. Step 3: Cross multiply
    379,662.34x = 523,942.32 × 226,672.02
  4. Step 4: Simplify right side
    379,662.34x = 118,763,064,887.91
  5. Step 5: Solve for x
    x = 118,763,064,887.91/379,662.34
  6. Step 6: Final answer
    x = 312,812.34

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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.