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Finding the Fourth Proportional to 455,243.40, 682,865.10 and 189,194.85

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Solution

The fourth proportional to 455,243.40, 682,865.10 and 189,194.85 is: 283,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,243.40 : 682,865.10 = 189,194.85 : x
  2. Step 2: Convert to fraction form
    455,243.40/682,865.10 = 189,194.85/x
  3. Step 3: Cross multiply
    455,243.40x = 682,865.10 × 189,194.85
  4. Step 4: Simplify right side
    455,243.40x = 129,194,560,164.74
  5. Step 5: Solve for x
    x = 129,194,560,164.74/455,243.40
  6. Step 6: Final answer
    x = 283,792.28

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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.