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Finding the Fourth Proportional to 299,846.30, 413,501.63 and 196,326.02

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Solution

The fourth proportional to 299,846.30, 413,501.63 and 196,326.02 is: 270,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,846.30 : 413,501.63 = 196,326.02 : x
  2. Step 2: Convert to fraction form
    299,846.30/413,501.63 = 196,326.02/x
  3. Step 3: Cross multiply
    299,846.30x = 413,501.63 × 196,326.02
  4. Step 4: Simplify right side
    299,846.30x = 81,181,127,213.90
  5. Step 5: Solve for x
    x = 81,181,127,213.90/299,846.30
  6. Step 6: Final answer
    x = 270,742.47

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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.