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Finding the Fourth Proportional to 299,678.55, 413,571.17 and 170,619.59

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Solution

The fourth proportional to 299,678.55, 413,571.17 and 170,619.59 is: 235,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,678.55 : 413,571.17 = 170,619.59 : x
  2. Step 2: Convert to fraction form
    299,678.55/413,571.17 = 170,619.59/x
  3. Step 3: Cross multiply
    299,678.55x = 413,571.17 × 170,619.59
  4. Step 4: Simplify right side
    299,678.55x = 70,563,340,540.27
  5. Step 5: Solve for x
    x = 70,563,340,540.27/299,678.55
  6. Step 6: Final answer
    x = 235,463.43

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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.