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Finding the Fourth Proportional to 456,414.92, 629,640.46 and 295,321.92

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Solution

The fourth proportional to 456,414.92, 629,640.46 and 295,321.92 is: 407,406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,414.92 : 629,640.46 = 295,321.92 : x
  2. Step 2: Convert to fraction form
    456,414.92/629,640.46 = 295,321.92/x
  3. Step 3: Cross multiply
    456,414.92x = 629,640.46 × 295,321.92
  4. Step 4: Simplify right side
    456,414.92x = 185,946,629,556.88
  5. Step 5: Solve for x
    x = 185,946,629,556.88/456,414.92
  6. Step 6: Final answer
    x = 407,406.99

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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.