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Finding the Fourth Proportional to 446,175.31, 669,214 and 130,635.31

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Solution

The fourth proportional to 446,175.31, 669,214 and 130,635.31 is: 195,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,175.31 : 669,214 = 130,635.31 : x
  2. Step 2: Convert to fraction form
    446,175.31/669,214 = 130,635.31/x
  3. Step 3: Cross multiply
    446,175.31x = 669,214 × 130,635.31
  4. Step 4: Simplify right side
    446,175.31x = 87,422,978,346.34
  5. Step 5: Solve for x
    x = 87,422,978,346.34/446,175.31
  6. Step 6: Final answer
    x = 195,938.63

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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.