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Finding the Fourth Proportional to 363,709.40, 501,899.44 and 200,360.55

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Solution

The fourth proportional to 363,709.40, 501,899.44 and 200,360.55 is: 276,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,709.40 : 501,899.44 = 200,360.55 : x
  2. Step 2: Convert to fraction form
    363,709.40/501,899.44 = 200,360.55/x
  3. Step 3: Cross multiply
    363,709.40x = 501,899.44 × 200,360.55
  4. Step 4: Simplify right side
    363,709.40x = 100,560,846,841.29
  5. Step 5: Solve for x
    x = 100,560,846,841.29/363,709.40
  6. Step 6: Final answer
    x = 276,486.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.