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Finding the Fourth Proportional to 271,698.16, 407,416.15 and 113,884.24

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Solution

The fourth proportional to 271,698.16, 407,416.15 and 113,884.24 is: 170,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,698.16 : 407,416.15 = 113,884.24 : x
  2. Step 2: Convert to fraction form
    271,698.16/407,416.15 = 113,884.24/x
  3. Step 3: Cross multiply
    271,698.16x = 407,416.15 × 113,884.24
  4. Step 4: Simplify right side
    271,698.16x = 46,398,276,284.68
  5. Step 5: Solve for x
    x = 46,398,276,284.68/271,698.16
  6. Step 6: Final answer
    x = 170,771.41

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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.