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Finding the Fourth Proportional to 413,460.26, 620,190.52 and 132,977.50

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Solution

The fourth proportional to 413,460.26, 620,190.52 and 132,977.50 is: 199,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,460.26 : 620,190.52 = 132,977.50 : x
  2. Step 2: Convert to fraction form
    413,460.26/620,190.52 = 132,977.50/x
  3. Step 3: Cross multiply
    413,460.26x = 620,190.52 × 132,977.50
  4. Step 4: Simplify right side
    413,460.26x = 82,471,384,873.30
  5. Step 5: Solve for x
    x = 82,471,384,873.30/413,460.26
  6. Step 6: Final answer
    x = 199,466.29

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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.