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Finding the Fourth Proportional to 407,054.97, 610,092 and 150,682.68

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Solution

The fourth proportional to 407,054.97, 610,092 and 150,682.68 is: 225,842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,054.97 : 610,092 = 150,682.68 : x
  2. Step 2: Convert to fraction form
    407,054.97/610,092 = 150,682.68/x
  3. Step 3: Cross multiply
    407,054.97x = 610,092 × 150,682.68
  4. Step 4: Simplify right side
    407,054.97x = 91,930,297,606.56
  5. Step 5: Solve for x
    x = 91,930,297,606.56/407,054.97
  6. Step 6: Final answer
    x = 225,842.46

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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.