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Finding the Fourth Proportional to 583,106.69, 804,662.37 and 324,969.90

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Solution

The fourth proportional to 583,106.69, 804,662.37 and 324,969.90 is: 448,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,106.69 : 804,662.37 = 324,969.90 : x
  2. Step 2: Convert to fraction form
    583,106.69/804,662.37 = 324,969.90/x
  3. Step 3: Cross multiply
    583,106.69x = 804,662.37 × 324,969.90
  4. Step 4: Simplify right side
    583,106.69x = 261,491,049,912.66
  5. Step 5: Solve for x
    x = 261,491,049,912.66/583,106.69
  6. Step 6: Final answer
    x = 448,444.61

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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.