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Finding the Fourth Proportional to 299,622.34, 413,480.97 and 165,486.34

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Solution

The fourth proportional to 299,622.34, 413,480.97 and 165,486.34 is: 228,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,622.34 : 413,480.97 = 165,486.34 : x
  2. Step 2: Convert to fraction form
    299,622.34/413,480.97 = 165,486.34/x
  3. Step 3: Cross multiply
    299,622.34x = 413,480.97 × 165,486.34
  4. Step 4: Simplify right side
    299,622.34x = 68,425,452,384.95
  5. Step 5: Solve for x
    x = 68,425,452,384.95/299,622.34
  6. Step 6: Final answer
    x = 228,372.33

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