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Finding the Fourth Proportional to 414,611.44, 621,915.04 and 161,917.59

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Solution

The fourth proportional to 414,611.44, 621,915.04 and 161,917.59 is: 242,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,611.44 : 621,915.04 = 161,917.59 : x
  2. Step 2: Convert to fraction form
    414,611.44/621,915.04 = 161,917.59/x
  3. Step 3: Cross multiply
    414,611.44x = 621,915.04 × 161,917.59
  4. Step 4: Simplify right side
    414,611.44x = 100,698,984,461.55
  5. Step 5: Solve for x
    x = 100,698,984,461.55/414,611.44
  6. Step 6: Final answer
    x = 242,875.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.