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Finding the Fourth Proportional to 469,912.22, 648,324.50 and 265,942.88

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Solution

The fourth proportional to 469,912.22, 648,324.50 and 265,942.88 is: 366,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,912.22 : 648,324.50 = 265,942.88 : x
  2. Step 2: Convert to fraction form
    469,912.22/648,324.50 = 265,942.88/x
  3. Step 3: Cross multiply
    469,912.22x = 648,324.50 × 265,942.88
  4. Step 4: Simplify right side
    469,912.22x = 172,417,284,704.56
  5. Step 5: Solve for x
    x = 172,417,284,704.56/469,912.22
  6. Step 6: Final answer
    x = 366,913.81

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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.