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Finding the Fourth Proportional to 298,738.23, 412,253.54 and 162,773.30

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Solution

The fourth proportional to 298,738.23, 412,253.54 and 162,773.30 is: 224,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,738.23 : 412,253.54 = 162,773.30 : x
  2. Step 2: Convert to fraction form
    298,738.23/412,253.54 = 162,773.30/x
  3. Step 3: Cross multiply
    298,738.23x = 412,253.54 × 162,773.30
  4. Step 4: Simplify right side
    298,738.23x = 67,103,867,081.21
  5. Step 5: Solve for x
    x = 67,103,867,081.21/298,738.23
  6. Step 6: Final answer
    x = 224,624.31

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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.