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Finding the Fourth Proportional to 277,339.44, 416,199.24 and 99,847.92

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Solution

The fourth proportional to 277,339.44, 416,199.24 and 99,847.92 is: 149,840.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,339.44 : 416,199.24 = 99,847.92 : x
  2. Step 2: Convert to fraction form
    277,339.44/416,199.24 = 99,847.92/x
  3. Step 3: Cross multiply
    277,339.44x = 416,199.24 × 99,847.92
  4. Step 4: Simplify right side
    277,339.44x = 41,556,628,419.58
  5. Step 5: Solve for x
    x = 41,556,628,419.58/277,339.44
  6. Step 6: Final answer
    x = 149,840.31

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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.