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Finding the Fourth Proportional to 411,394.60, 617,137.26 and 130,846.24

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Solution

The fourth proportional to 411,394.60, 617,137.26 and 130,846.24 is: 196,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,394.60 : 617,137.26 = 130,846.24 : x
  2. Step 2: Convert to fraction form
    411,394.60/617,137.26 = 130,846.24/x
  3. Step 3: Cross multiply
    411,394.60x = 617,137.26 × 130,846.24
  4. Step 4: Simplify right side
    411,394.60x = 80,750,090,034.90
  5. Step 5: Solve for x
    x = 80,750,090,034.90/411,394.60
  6. Step 6: Final answer
    x = 196,283.79

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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.