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Finding the Fourth Proportional to 213,474.69, 320,211.63 and 200,483.91

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Solution

The fourth proportional to 213,474.69, 320,211.63 and 200,483.91 is: 300,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,474.69 : 320,211.63 = 200,483.91 : x
  2. Step 2: Convert to fraction form
    213,474.69/320,211.63 = 200,483.91/x
  3. Step 3: Cross multiply
    213,474.69x = 320,211.63 × 200,483.91
  4. Step 4: Simplify right side
    213,474.69x = 64,197,279,609.87
  5. Step 5: Solve for x
    x = 64,197,279,609.87/213,474.69
  6. Step 6: Final answer
    x = 300,725.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.