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Finding the Fourth Proportional to 298,647.60, 412,134.24 and 177,793.06

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Solution

The fourth proportional to 298,647.60, 412,134.24 and 177,793.06 is: 245,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,647.60 : 412,134.24 = 177,793.06 : x
  2. Step 2: Convert to fraction form
    298,647.60/412,134.24 = 177,793.06/x
  3. Step 3: Cross multiply
    298,647.60x = 412,134.24 × 177,793.06
  4. Step 4: Simplify right side
    298,647.60x = 73,274,607,660.37
  5. Step 5: Solve for x
    x = 73,274,607,660.37/298,647.60
  6. Step 6: Final answer
    x = 245,354.75

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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.