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Finding the Fourth Proportional to 378,402.94, 567,395.25 and 150,467.68

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Solution

The fourth proportional to 378,402.94, 567,395.25 and 150,467.68 is: 225,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,402.94 : 567,395.25 = 150,467.68 : x
  2. Step 2: Convert to fraction form
    378,402.94/567,395.25 = 150,467.68/x
  3. Step 3: Cross multiply
    378,402.94x = 567,395.25 × 150,467.68
  4. Step 4: Simplify right side
    378,402.94x = 85,374,646,910.52
  5. Step 5: Solve for x
    x = 85,374,646,910.52/378,402.94
  6. Step 6: Final answer
    x = 225,618.35

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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.