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Finding the Fourth Proportional to 441,859.24, 609,571.74 and 298,567

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Solution

The fourth proportional to 441,859.24, 609,571.74 and 298,567 is: 411,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,859.24 : 609,571.74 = 298,567 : x
  2. Step 2: Convert to fraction form
    441,859.24/609,571.74 = 298,567/x
  3. Step 3: Cross multiply
    441,859.24x = 609,571.74 × 298,567
  4. Step 4: Simplify right side
    441,859.24x = 181,998,005,696.58
  5. Step 5: Solve for x
    x = 181,998,005,696.58/441,859.24
  6. Step 6: Final answer
    x = 411,891.37

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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.