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Finding the Fourth Proportional to 416,119.44, 624,179.20 and 100,576.32

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Solution

The fourth proportional to 416,119.44, 624,179.20 and 100,576.32 is: 150,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,119.44 : 624,179.20 = 100,576.32 : x
  2. Step 2: Convert to fraction form
    416,119.44/624,179.20 = 100,576.32/x
  3. Step 3: Cross multiply
    416,119.44x = 624,179.20 × 100,576.32
  4. Step 4: Simplify right side
    416,119.44x = 62,777,646,956.54
  5. Step 5: Solve for x
    x = 62,777,646,956.54/416,119.44
  6. Step 6: Final answer
    x = 150,864.49

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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.