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Finding the Fourth Proportional to 271,764.60, 407,258.10 and 200,128.20

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Solution

The fourth proportional to 271,764.60, 407,258.10 and 200,128.20 is: 299,905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,764.60 : 407,258.10 = 200,128.20 : x
  2. Step 2: Convert to fraction form
    271,764.60/407,258.10 = 200,128.20/x
  3. Step 3: Cross multiply
    271,764.60x = 407,258.10 × 200,128.20
  4. Step 4: Simplify right side
    271,764.60x = 81,503,830,488.42
  5. Step 5: Solve for x
    x = 81,503,830,488.42/271,764.60
  6. Step 6: Final answer
    x = 299,905.99

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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.