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Finding the Fourth Proportional to 378,735.70, 567,338.10 and 236,143.30

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Solution

The fourth proportional to 378,735.70, 567,338.10 and 236,143.30 is: 353,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,735.70 : 567,338.10 = 236,143.30 : x
  2. Step 2: Convert to fraction form
    378,735.70/567,338.10 = 236,143.30/x
  3. Step 3: Cross multiply
    378,735.70x = 567,338.10 × 236,143.30
  4. Step 4: Simplify right side
    378,735.70x = 133,973,091,149.73
  5. Step 5: Solve for x
    x = 133,973,091,149.73/378,735.70
  6. Step 6: Final answer
    x = 353,737.69

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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.