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Finding the Fourth Proportional to 667,483.44, 1,000,525.32 and 312,198

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Solution

The fourth proportional to 667,483.44, 1,000,525.32 and 312,198 is: 467,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,483.44 : 1,000,525.32 = 312,198 : x
  2. Step 2: Convert to fraction form
    667,483.44/1,000,525.32 = 312,198/x
  3. Step 3: Cross multiply
    667,483.44x = 1,000,525.32 × 312,198
  4. Step 4: Simplify right side
    667,483.44x = 312,362,003,853.36
  5. Step 5: Solve for x
    x = 312,362,003,853.36/667,483.44
  6. Step 6: Final answer
    x = 467,969.67

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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.