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Finding the Fourth Proportional to 270,900.57, 405,977.22 and 204,267.45

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Solution

The fourth proportional to 270,900.57, 405,977.22 and 204,267.45 is: 306,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,900.57 : 405,977.22 = 204,267.45 : x
  2. Step 2: Convert to fraction form
    270,900.57/405,977.22 = 204,267.45/x
  3. Step 3: Cross multiply
    270,900.57x = 405,977.22 × 204,267.45
  4. Step 4: Simplify right side
    270,900.57x = 82,927,931,487.49
  5. Step 5: Solve for x
    x = 82,927,931,487.49/270,900.57
  6. Step 6: Final answer
    x = 306,119.44

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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.