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Finding the Fourth Proportional to 378,456.96, 567,698.84 and 94,149

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Solution

The fourth proportional to 378,456.96, 567,698.84 and 94,149 is: 141,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,456.96 : 567,698.84 = 94,149 : x
  2. Step 2: Convert to fraction form
    378,456.96/567,698.84 = 94,149/x
  3. Step 3: Cross multiply
    378,456.96x = 567,698.84 × 94,149
  4. Step 4: Simplify right side
    378,456.96x = 53,448,278,087.16
  5. Step 5: Solve for x
    x = 53,448,278,087.16/378,456.96
  6. Step 6: Final answer
    x = 141,226.83

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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.