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Finding the Fourth Proportional to 415,356.20, 622,112.70 and 165,909.80

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Solution

The fourth proportional to 415,356.20, 622,112.70 and 165,909.80 is: 248,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,356.20 : 622,112.70 = 165,909.80 : x
  2. Step 2: Convert to fraction form
    415,356.20/622,112.70 = 165,909.80/x
  3. Step 3: Cross multiply
    415,356.20x = 622,112.70 × 165,909.80
  4. Step 4: Simplify right side
    415,356.20x = 103,214,593,634.46
  5. Step 5: Solve for x
    x = 103,214,593,634.46/415,356.20
  6. Step 6: Final answer
    x = 248,496.58

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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.