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Finding the Fourth Proportional to 298,289.94, 411,644.43 and 162,327.78

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Solution

The fourth proportional to 298,289.94, 411,644.43 and 162,327.78 is: 224,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,289.94 : 411,644.43 = 162,327.78 : x
  2. Step 2: Convert to fraction form
    298,289.94/411,644.43 = 162,327.78/x
  3. Step 3: Cross multiply
    298,289.94x = 411,644.43 × 162,327.78
  4. Step 4: Simplify right side
    298,289.94x = 66,821,326,471.27
  5. Step 5: Solve for x
    x = 66,821,326,471.27/298,289.94
  6. Step 6: Final answer
    x = 224,014.68

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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.