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Finding the Fourth Proportional to 299,481.34, 447,857.56 and 223,633.14

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Solution

The fourth proportional to 299,481.34, 447,857.56 and 223,633.14 is: 334,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,481.34 : 447,857.56 = 223,633.14 : x
  2. Step 2: Convert to fraction form
    299,481.34/447,857.56 = 223,633.14/x
  3. Step 3: Cross multiply
    299,481.34x = 447,857.56 × 223,633.14
  4. Step 4: Simplify right side
    299,481.34x = 100,155,791,297.37
  5. Step 5: Solve for x
    x = 100,155,791,297.37/299,481.34
  6. Step 6: Final answer
    x = 334,430.83

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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.