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Finding the Fourth Proportional to 298,847.12, 412,361.64 and 167,998.91

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Solution

The fourth proportional to 298,847.12, 412,361.64 and 167,998.91 is: 231,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,847.12 : 412,361.64 = 167,998.91 : x
  2. Step 2: Convert to fraction form
    298,847.12/412,361.64 = 167,998.91/x
  3. Step 3: Cross multiply
    298,847.12x = 412,361.64 × 167,998.91
  4. Step 4: Simplify right side
    298,847.12x = 69,276,303,984.00
  5. Step 5: Solve for x
    x = 69,276,303,984.00/298,847.12
  6. Step 6: Final answer
    x = 231,811.85

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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.