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Finding the Fourth Proportional to 421,324.22, 631,857.80 and 221,536.22

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Solution

The fourth proportional to 421,324.22, 631,857.80 and 221,536.22 is: 332,236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,324.22 : 631,857.80 = 221,536.22 : x
  2. Step 2: Convert to fraction form
    421,324.22/631,857.80 = 221,536.22/x
  3. Step 3: Cross multiply
    421,324.22x = 631,857.80 × 221,536.22
  4. Step 4: Simplify right side
    421,324.22x = 139,979,388,589.52
  5. Step 5: Solve for x
    x = 139,979,388,589.52/421,324.22
  6. Step 6: Final answer
    x = 332,236.75

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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.