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Finding the Fourth Proportional to 407,620.56, 611,497.68 and 167,669.43

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Solution

The fourth proportional to 407,620.56, 611,497.68 and 167,669.43 is: 251,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,620.56 : 611,497.68 = 167,669.43 : x
  2. Step 2: Convert to fraction form
    407,620.56/611,497.68 = 167,669.43/x
  3. Step 3: Cross multiply
    407,620.56x = 611,497.68 × 167,669.43
  4. Step 4: Simplify right side
    407,620.56x = 102,529,467,451.92
  5. Step 5: Solve for x
    x = 102,529,467,451.92/407,620.56
  6. Step 6: Final answer
    x = 251,531.64

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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.