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Finding the Fourth Proportional to 378,675.36, 522,478.80 and 231,463.04

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Solution

The fourth proportional to 378,675.36, 522,478.80 and 231,463.04 is: 319,362.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,675.36 : 522,478.80 = 231,463.04 : x
  2. Step 2: Convert to fraction form
    378,675.36/522,478.80 = 231,463.04/x
  3. Step 3: Cross multiply
    378,675.36x = 522,478.80 × 231,463.04
  4. Step 4: Simplify right side
    378,675.36x = 120,934,531,383.55
  5. Step 5: Solve for x
    x = 120,934,531,383.55/378,675.36
  6. Step 6: Final answer
    x = 319,362.03

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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.