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Finding the Fourth Proportional to 277,682.20, 416,523.30 and 100,216.60

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Solution

The fourth proportional to 277,682.20, 416,523.30 and 100,216.60 is: 150,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,682.20 : 416,523.30 = 100,216.60 : x
  2. Step 2: Convert to fraction form
    277,682.20/416,523.30 = 100,216.60/x
  3. Step 3: Cross multiply
    277,682.20x = 416,523.30 × 100,216.60
  4. Step 4: Simplify right side
    277,682.20x = 41,742,548,946.78
  5. Step 5: Solve for x
    x = 41,742,548,946.78/277,682.20
  6. Step 6: Final answer
    x = 150,324.90

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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.