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Finding the Fourth Proportional to 298,241.88, 411,438.22 and 177,314.60

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Solution

The fourth proportional to 298,241.88, 411,438.22 and 177,314.60 is: 244,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,241.88 : 411,438.22 = 177,314.60 : x
  2. Step 2: Convert to fraction form
    298,241.88/411,438.22 = 177,314.60/x
  3. Step 3: Cross multiply
    298,241.88x = 411,438.22 × 177,314.60
  4. Step 4: Simplify right side
    298,241.88x = 72,954,003,404.01
  5. Step 5: Solve for x
    x = 72,954,003,404.01/298,241.88
  6. Step 6: Final answer
    x = 244,613.54

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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.