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Finding the Fourth Proportional to 378,764.26, 568,048.56 and 112,464.52

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Solution

The fourth proportional to 378,764.26, 568,048.56 and 112,464.52 is: 168,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,764.26 : 568,048.56 = 112,464.52 : x
  2. Step 2: Convert to fraction form
    378,764.26/568,048.56 = 112,464.52/x
  3. Step 3: Cross multiply
    378,764.26x = 568,048.56 × 112,464.52
  4. Step 4: Simplify right side
    378,764.26x = 63,885,308,637.09
  5. Step 5: Solve for x
    x = 63,885,308,637.09/378,764.26
  6. Step 6: Final answer
    x = 168,667.73

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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.