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Finding the Fourth Proportional to 298,493.68, 411,911.04 and 162,525.44

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Solution

The fourth proportional to 298,493.68, 411,911.04 and 162,525.44 is: 224,279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,493.68 : 411,911.04 = 162,525.44 : x
  2. Step 2: Convert to fraction form
    298,493.68/411,911.04 = 162,525.44/x
  3. Step 3: Cross multiply
    298,493.68x = 411,911.04 × 162,525.44
  4. Step 4: Simplify right side
    298,493.68x = 66,946,023,016.86
  5. Step 5: Solve for x
    x = 66,946,023,016.86/298,493.68
  6. Step 6: Final answer
    x = 224,279.53

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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.