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Finding the Fourth Proportional to 271,722.80, 407,584.20 and 208,664.30

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Solution

The fourth proportional to 271,722.80, 407,584.20 and 208,664.30 is: 312,996.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,722.80 : 407,584.20 = 208,664.30 : x
  2. Step 2: Convert to fraction form
    271,722.80/407,584.20 = 208,664.30/x
  3. Step 3: Cross multiply
    271,722.80x = 407,584.20 × 208,664.30
  4. Step 4: Simplify right side
    271,722.80x = 85,048,271,784.06
  5. Step 5: Solve for x
    x = 85,048,271,784.06/271,722.80
  6. Step 6: Final answer
    x = 312,996.45

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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.