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Finding the Fourth Proportional to 270,682.66, 406,021.75 and 211,568.02

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Solution

The fourth proportional to 270,682.66, 406,021.75 and 211,568.02 is: 317,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,682.66 : 406,021.75 = 211,568.02 : x
  2. Step 2: Convert to fraction form
    270,682.66/406,021.75 = 211,568.02/x
  3. Step 3: Cross multiply
    270,682.66x = 406,021.75 × 211,568.02
  4. Step 4: Simplify right side
    270,682.66x = 85,901,217,724.44
  5. Step 5: Solve for x
    x = 85,901,217,724.44/270,682.66
  6. Step 6: Final answer
    x = 317,350.28

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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.