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Finding the Fourth Proportional to 271,705.90, 407,866.05 and 160,960.30

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Solution

The fourth proportional to 271,705.90, 407,866.05 and 160,960.30 is: 241,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,705.90 : 407,866.05 = 160,960.30 : x
  2. Step 2: Convert to fraction form
    271,705.90/407,866.05 = 160,960.30/x
  3. Step 3: Cross multiply
    271,705.90x = 407,866.05 × 160,960.30
  4. Step 4: Simplify right side
    271,705.90x = 65,650,241,767.82
  5. Step 5: Solve for x
    x = 65,650,241,767.82/271,705.90
  6. Step 6: Final answer
    x = 241,622.44

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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.