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Finding the Fourth Proportional to 414,543.80, 622,122.90 and 165,404.60

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Solution

The fourth proportional to 414,543.80, 622,122.90 and 165,404.60 is: 248,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,543.80 : 622,122.90 = 165,404.60 : x
  2. Step 2: Convert to fraction form
    414,543.80/622,122.90 = 165,404.60/x
  3. Step 3: Cross multiply
    414,543.80x = 622,122.90 × 165,404.60
  4. Step 4: Simplify right side
    414,543.80x = 102,901,989,425.34
  5. Step 5: Solve for x
    x = 102,901,989,425.34/414,543.80
  6. Step 6: Final answer
    x = 248,229.47

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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.