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Finding the Fourth Proportional to 271,858.90, 407,788.35 and 201,874.90

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Solution

The fourth proportional to 271,858.90, 407,788.35 and 201,874.90 is: 302,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,858.90 : 407,788.35 = 201,874.90 : x
  2. Step 2: Convert to fraction form
    271,858.90/407,788.35 = 201,874.90/x
  3. Step 3: Cross multiply
    271,858.90x = 407,788.35 × 201,874.90
  4. Step 4: Simplify right side
    271,858.90x = 82,322,232,377.42
  5. Step 5: Solve for x
    x = 82,322,232,377.42/271,858.90
  6. Step 6: Final answer
    x = 302,812.35

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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.