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Finding the Fourth Proportional to 367,530.45, 507,198.00 and 204,197.49

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Solution

The fourth proportional to 367,530.45, 507,198.00 and 204,197.49 is: 281,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,530.45 : 507,198.00 = 204,197.49 : x
  2. Step 2: Convert to fraction form
    367,530.45/507,198.00 = 204,197.49/x
  3. Step 3: Cross multiply
    367,530.45x = 507,198.00 × 204,197.49
  4. Step 4: Simplify right side
    367,530.45x = 103,568,559,298.76
  5. Step 5: Solve for x
    x = 103,568,559,298.76/367,530.45
  6. Step 6: Final answer
    x = 281,795.86

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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.