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Finding the Fourth Proportional to 399,614.04, 599,716.80 and 189,252.48

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Solution

The fourth proportional to 399,614.04, 599,716.80 and 189,252.48 is: 284,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,614.04 : 599,716.80 = 189,252.48 : x
  2. Step 2: Convert to fraction form
    399,614.04/599,716.80 = 189,252.48/x
  3. Step 3: Cross multiply
    399,614.04x = 599,716.80 × 189,252.48
  4. Step 4: Simplify right side
    399,614.04x = 113,497,891,697.66
  5. Step 5: Solve for x
    x = 113,497,891,697.66/399,614.04
  6. Step 6: Final answer
    x = 284,018.78

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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.