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Finding the Fourth Proportional to 275,142.80, 412,325.40 and 169,648.40

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Solution

The fourth proportional to 275,142.80, 412,325.40 and 169,648.40 is: 254,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,142.80 : 412,325.40 = 169,648.40 : x
  2. Step 2: Convert to fraction form
    275,142.80/412,325.40 = 169,648.40/x
  3. Step 3: Cross multiply
    275,142.80x = 412,325.40 × 169,648.40
  4. Step 4: Simplify right side
    275,142.80x = 69,950,344,389.36
  5. Step 5: Solve for x
    x = 69,950,344,389.36/275,142.80
  6. Step 6: Final answer
    x = 254,232.87

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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.