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Finding the Fourth Proportional to 297,745.94, 410,884.40 and 161,781.96

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Solution

The fourth proportional to 297,745.94, 410,884.40 and 161,781.96 is: 223,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,745.94 : 410,884.40 = 161,781.96 : x
  2. Step 2: Convert to fraction form
    297,745.94/410,884.40 = 161,781.96/x
  3. Step 3: Cross multiply
    297,745.94x = 410,884.40 × 161,781.96
  4. Step 4: Simplify right side
    297,745.94x = 66,473,682,756.51
  5. Step 5: Solve for x
    x = 66,473,682,756.51/297,745.94
  6. Step 6: Final answer
    x = 223,256.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.