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Finding the Fourth Proportional to 300,230.77, 414,314.78 and 164,262.75

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Solution

The fourth proportional to 300,230.77, 414,314.78 and 164,262.75 is: 226,680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,230.77 : 414,314.78 = 164,262.75 : x
  2. Step 2: Convert to fraction form
    300,230.77/414,314.78 = 164,262.75/x
  3. Step 3: Cross multiply
    300,230.77x = 414,314.78 × 164,262.75
  4. Step 4: Simplify right side
    300,230.77x = 68,056,485,128.45
  5. Step 5: Solve for x
    x = 68,056,485,128.45/300,230.77
  6. Step 6: Final answer
    x = 226,680.58

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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.