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Finding the Fourth Proportional to 265,768.46, 397,440.68 and 198,348.11

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Solution

The fourth proportional to 265,768.46, 397,440.68 and 198,348.11 is: 296,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,768.46 : 397,440.68 = 198,348.11 : x
  2. Step 2: Convert to fraction form
    265,768.46/397,440.68 = 198,348.11/x
  3. Step 3: Cross multiply
    265,768.46x = 397,440.68 × 198,348.11
  4. Step 4: Simplify right side
    265,768.46x = 78,831,604,736.17
  5. Step 5: Solve for x
    x = 78,831,604,736.17/265,768.46
  6. Step 6: Final answer
    x = 296,617.61

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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.