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Finding the Fourth Proportional to 274,676.50, 412,017.32 and 97,213.60

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Solution

The fourth proportional to 274,676.50, 412,017.32 and 97,213.60 is: 145,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,676.50 : 412,017.32 = 97,213.60 : x
  2. Step 2: Convert to fraction form
    274,676.50/412,017.32 = 97,213.60/x
  3. Step 3: Cross multiply
    274,676.50x = 412,017.32 × 97,213.60
  4. Step 4: Simplify right side
    274,676.50x = 40,053,686,939.55
  5. Step 5: Solve for x
    x = 40,053,686,939.55/274,676.50
  6. Step 6: Final answer
    x = 145,821.31

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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.