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Finding the Fourth Proportional to 298,997.64, 412,611.48 and 163,032.66

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Solution

The fourth proportional to 298,997.64, 412,611.48 and 163,032.66 is: 224,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,997.64 : 412,611.48 = 163,032.66 : x
  2. Step 2: Convert to fraction form
    298,997.64/412,611.48 = 163,032.66/x
  3. Step 3: Cross multiply
    298,997.64x = 412,611.48 × 163,032.66
  4. Step 4: Simplify right side
    298,997.64x = 67,269,147,130.94
  5. Step 5: Solve for x
    x = 67,269,147,130.94/298,997.64
  6. Step 6: Final answer
    x = 224,982.20

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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.