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Finding the Fourth Proportional to 378,912.31, 522,899.04 and 209,146.48

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Solution

The fourth proportional to 378,912.31, 522,899.04 and 209,146.48 is: 288,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,912.31 : 522,899.04 = 209,146.48 : x
  2. Step 2: Convert to fraction form
    378,912.31/522,899.04 = 209,146.48/x
  3. Step 3: Cross multiply
    378,912.31x = 522,899.04 × 209,146.48
  4. Step 4: Simplify right side
    378,912.31x = 109,362,493,611.38
  5. Step 5: Solve for x
    x = 109,362,493,611.38/378,912.31
  6. Step 6: Final answer
    x = 288,622.17

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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.