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Finding the Fourth Proportional to 298,715.22, 412,379.36 and 202,427.76

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Solution

The fourth proportional to 298,715.22, 412,379.36 and 202,427.76 is: 279,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,715.22 : 412,379.36 = 202,427.76 : x
  2. Step 2: Convert to fraction form
    298,715.22/412,379.36 = 202,427.76/x
  3. Step 3: Cross multiply
    298,715.22x = 412,379.36 × 202,427.76
  4. Step 4: Simplify right side
    298,715.22x = 83,477,031,408.42
  5. Step 5: Solve for x
    x = 83,477,031,408.42/298,715.22
  6. Step 6: Final answer
    x = 279,453.56

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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.