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Finding the Fourth Proportional to 271,485.60, 406,969.20 and 211,480.80

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Solution

The fourth proportional to 271,485.60, 406,969.20 and 211,480.80 is: 317,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,485.60 : 406,969.20 = 211,480.80 : x
  2. Step 2: Convert to fraction form
    271,485.60/406,969.20 = 211,480.80/x
  3. Step 3: Cross multiply
    271,485.60x = 406,969.20 × 211,480.80
  4. Step 4: Simplify right side
    271,485.60x = 86,066,171,991.36
  5. Step 5: Solve for x
    x = 86,066,171,991.36/271,485.60
  6. Step 6: Final answer
    x = 317,019.29

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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.