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Finding the Fourth Proportional to 298,016.89, 411,257.45 and 162,049.68

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Solution

The fourth proportional to 298,016.89, 411,257.45 and 162,049.68 is: 223,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,016.89 : 411,257.45 = 162,049.68 : x
  2. Step 2: Convert to fraction form
    298,016.89/411,257.45 = 162,049.68/x
  3. Step 3: Cross multiply
    298,016.89x = 411,257.45 × 162,049.68
  4. Step 4: Simplify right side
    298,016.89x = 66,644,138,575.24
  5. Step 5: Solve for x
    x = 66,644,138,575.24/298,016.89
  6. Step 6: Final answer
    x = 223,625.38

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1.5x scale

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.