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Finding the Fourth Proportional to 448,705.68, 672,912.96 and 149,105.76

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Solution

The fourth proportional to 448,705.68, 672,912.96 and 149,105.76 is: 223,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,705.68 : 672,912.96 = 149,105.76 : x
  2. Step 2: Convert to fraction form
    448,705.68/672,912.96 = 149,105.76/x
  3. Step 3: Cross multiply
    448,705.68x = 672,912.96 × 149,105.76
  4. Step 4: Simplify right side
    448,705.68x = 100,335,198,314.65
  5. Step 5: Solve for x
    x = 100,335,198,314.65/448,705.68
  6. Step 6: Final answer
    x = 223,610.27

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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.