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Finding the Fourth Proportional to 271,709.40, 407,564.10 and 227,750.70

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Solution

The fourth proportional to 271,709.40, 407,564.10 and 227,750.70 is: 341,626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,709.40 : 407,564.10 = 227,750.70 : x
  2. Step 2: Convert to fraction form
    271,709.40/407,564.10 = 227,750.70/x
  3. Step 3: Cross multiply
    271,709.40x = 407,564.10 × 227,750.70
  4. Step 4: Simplify right side
    271,709.40x = 92,823,009,069.87
  5. Step 5: Solve for x
    x = 92,823,009,069.87/271,709.40
  6. Step 6: Final answer
    x = 341,626.05

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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.