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Finding the Fourth Proportional to 363,609.34, 501,803.67 and 200,265.81

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Solution

The fourth proportional to 363,609.34, 501,803.67 and 200,265.81 is: 276,379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,609.34 : 501,803.67 = 200,265.81 : x
  2. Step 2: Convert to fraction form
    363,609.34/501,803.67 = 200,265.81/x
  3. Step 3: Cross multiply
    363,609.34x = 501,803.67 × 200,265.81
  4. Step 4: Simplify right side
    363,609.34x = 100,494,115,924.50
  5. Step 5: Solve for x
    x = 100,494,115,924.50/363,609.34
  6. Step 6: Final answer
    x = 276,379.36

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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.