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Finding the Fourth Proportional to 378,401.94, 567,393.75 and 150,466.68

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Solution

The fourth proportional to 378,401.94, 567,393.75 and 150,466.68 is: 225,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,401.94 : 567,393.75 = 150,466.68 : x
  2. Step 2: Convert to fraction form
    378,401.94/567,393.75 = 150,466.68/x
  3. Step 3: Cross multiply
    378,401.94x = 567,393.75 × 150,466.68
  4. Step 4: Simplify right side
    378,401.94x = 85,373,853,815.25
  5. Step 5: Solve for x
    x = 85,373,853,815.25/378,401.94
  6. Step 6: Final answer
    x = 225,616.85

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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.