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Finding the Fourth Proportional to 414,382.86, 622,035.18 and 214,649.82

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Solution

The fourth proportional to 414,382.86, 622,035.18 and 214,649.82 is: 322,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,382.86 : 622,035.18 = 214,649.82 : x
  2. Step 2: Convert to fraction form
    414,382.86/622,035.18 = 214,649.82/x
  3. Step 3: Cross multiply
    414,382.86x = 622,035.18 × 214,649.82
  4. Step 4: Simplify right side
    414,382.86x = 133,519,739,420.67
  5. Step 5: Solve for x
    x = 133,519,739,420.67/414,382.86
  6. Step 6: Final answer
    x = 322,213.47

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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.