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Finding the Fourth Proportional to 493,989.50, 681,706.14 and 267,635

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Solution

The fourth proportional to 493,989.50, 681,706.14 and 267,635 is: 369,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,989.50 : 681,706.14 = 267,635 : x
  2. Step 2: Convert to fraction form
    493,989.50/681,706.14 = 267,635/x
  3. Step 3: Cross multiply
    493,989.50x = 681,706.14 × 267,635
  4. Step 4: Simplify right side
    493,989.50x = 182,448,422,778.90
  5. Step 5: Solve for x
    x = 182,448,422,778.90/493,989.50
  6. Step 6: Final answer
    x = 369,336.64

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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.