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Finding the Fourth Proportional to 271,915.64, 407,412.30 and 166,514.12

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Solution

The fourth proportional to 271,915.64, 407,412.30 and 166,514.12 is: 249,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,915.64 : 407,412.30 = 166,514.12 : x
  2. Step 2: Convert to fraction form
    271,915.64/407,412.30 = 166,514.12/x
  3. Step 3: Cross multiply
    271,915.64x = 407,412.30 × 166,514.12
  4. Step 4: Simplify right side
    271,915.64x = 67,839,900,611.68
  5. Step 5: Solve for x
    x = 67,839,900,611.68/271,915.64
  6. Step 6: Final answer
    x = 249,488.78

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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.