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Finding the Fourth Proportional to 414,145.44, 620,800.20 and 161,267.76

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Solution

The fourth proportional to 414,145.44, 620,800.20 and 161,267.76 is: 241,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,145.44 : 620,800.20 = 161,267.76 : x
  2. Step 2: Convert to fraction form
    414,145.44/620,800.20 = 161,267.76/x
  3. Step 3: Cross multiply
    414,145.44x = 620,800.20 × 161,267.76
  4. Step 4: Simplify right side
    414,145.44x = 100,115,057,661.55
  5. Step 5: Solve for x
    x = 100,115,057,661.55/414,145.44
  6. Step 6: Final answer
    x = 241,738.89

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1.5x scale

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.