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Finding the Fourth Proportional to 300,542.06, 414,748.69 and 162,722.45

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Solution

The fourth proportional to 300,542.06, 414,748.69 and 162,722.45 is: 224,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,542.06 : 414,748.69 = 162,722.45 : x
  2. Step 2: Convert to fraction form
    300,542.06/414,748.69 = 162,722.45/x
  3. Step 3: Cross multiply
    300,542.06x = 414,748.69 × 162,722.45
  4. Step 4: Simplify right side
    300,542.06x = 67,488,923,601.16
  5. Step 5: Solve for x
    x = 67,488,923,601.16/300,542.06
  6. Step 6: Final answer
    x = 224,557.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.