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Finding the Fourth Proportional to 265,834.95, 397,540.29 and 198,414.54

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Solution

The fourth proportional to 265,834.95, 397,540.29 and 198,414.54 is: 296,717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,834.95 : 397,540.29 = 198,414.54 : x
  2. Step 2: Convert to fraction form
    265,834.95/397,540.29 = 198,414.54/x
  3. Step 3: Cross multiply
    265,834.95x = 397,540.29 × 198,414.54
  4. Step 4: Simplify right side
    265,834.95x = 78,877,773,771.82
  5. Step 5: Solve for x
    x = 78,877,773,771.82/265,834.95
  6. Step 6: Final answer
    x = 296,717.09

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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.