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Finding the Fourth Proportional to 271,658.44, 407,646.30 and 113,874.76

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Solution

The fourth proportional to 271,658.44, 407,646.30 and 113,874.76 is: 170,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,658.44 : 407,646.30 = 113,874.76 : x
  2. Step 2: Convert to fraction form
    271,658.44/407,646.30 = 113,874.76/x
  3. Step 3: Cross multiply
    271,658.44x = 407,646.30 × 113,874.76
  4. Step 4: Simplify right side
    271,658.44x = 46,420,624,577.39
  5. Step 5: Solve for x
    x = 46,420,624,577.39/271,658.44
  6. Step 6: Final answer
    x = 170,878.64

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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.