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Finding the Fourth Proportional to 270,583.44, 405,284.64 and 165,082.56

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Solution

The fourth proportional to 270,583.44, 405,284.64 and 165,082.56 is: 247,263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,583.44 : 405,284.64 = 165,082.56 : x
  2. Step 2: Convert to fraction form
    270,583.44/405,284.64 = 165,082.56/x
  3. Step 3: Cross multiply
    270,583.44x = 405,284.64 × 165,082.56
  4. Step 4: Simplify right side
    270,583.44x = 66,905,425,899.88
  5. Step 5: Solve for x
    x = 66,905,425,899.88/270,583.44
  6. Step 6: Final answer
    x = 247,263.56

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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.