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Finding the Fourth Proportional to 298,697.73, 412,014.55 and 177,748.73

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Solution

The fourth proportional to 298,697.73, 412,014.55 and 177,748.73 is: 245,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,697.73 : 412,014.55 = 177,748.73 : x
  2. Step 2: Convert to fraction form
    298,697.73/412,014.55 = 177,748.73/x
  3. Step 3: Cross multiply
    298,697.73x = 412,014.55 × 177,748.73
  4. Step 4: Simplify right side
    298,697.73x = 73,235,062,377.91
  5. Step 5: Solve for x
    x = 73,235,062,377.91/298,697.73
  6. Step 6: Final answer
    x = 245,181.18

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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.