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Finding the Fourth Proportional to 300,418.41, 414,577.93 and 164,452.44

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Solution

The fourth proportional to 300,418.41, 414,577.93 and 164,452.44 is: 226,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,418.41 : 414,577.93 = 164,452.44 : x
  2. Step 2: Convert to fraction form
    300,418.41/414,577.93 = 164,452.44/x
  3. Step 3: Cross multiply
    300,418.41x = 414,577.93 × 164,452.44
  4. Step 4: Simplify right side
    300,418.41x = 68,178,351,336.39
  5. Step 5: Solve for x
    x = 68,178,351,336.39/300,418.41
  6. Step 6: Final answer
    x = 226,944.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.