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Finding the Fourth Proportional to 414,108.99, 571,467.02 and 261,245.93

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Solution

The fourth proportional to 414,108.99, 571,467.02 and 261,245.93 is: 360,517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,108.99 : 571,467.02 = 261,245.93 : x
  2. Step 2: Convert to fraction form
    414,108.99/571,467.02 = 261,245.93/x
  3. Step 3: Cross multiply
    414,108.99x = 571,467.02 × 261,245.93
  4. Step 4: Simplify right side
    414,108.99x = 149,293,428,940.66
  5. Step 5: Solve for x
    x = 149,293,428,940.66/414,108.99
  6. Step 6: Final answer
    x = 360,517.24

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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.