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Finding the Fourth Proportional to 299,326.86, 413,076.42 and 163,362.06

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Solution

The fourth proportional to 299,326.86, 413,076.42 and 163,362.06 is: 225,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,326.86 : 413,076.42 = 163,362.06 : x
  2. Step 2: Convert to fraction form
    299,326.86/413,076.42 = 163,362.06/x
  3. Step 3: Cross multiply
    299,326.86x = 413,076.42 × 163,362.06
  4. Step 4: Simplify right side
    299,326.86x = 67,481,014,908.63
  5. Step 5: Solve for x
    x = 67,481,014,908.63/299,326.86
  6. Step 6: Final answer
    x = 225,442.56

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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.