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Finding the Fourth Proportional to 378,107.31, 567,397.44 and 153,467.74

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Solution

The fourth proportional to 378,107.31, 567,397.44 and 153,467.74 is: 230,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,107.31 : 567,397.44 = 153,467.74 : x
  2. Step 2: Convert to fraction form
    378,107.31/567,397.44 = 153,467.74/x
  3. Step 3: Cross multiply
    378,107.31x = 567,397.44 × 153,467.74
  4. Step 4: Simplify right side
    378,107.31x = 87,077,202,798.59
  5. Step 5: Solve for x
    x = 87,077,202,798.59/378,107.31
  6. Step 6: Final answer
    x = 230,297.59

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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.