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Finding the Fourth Proportional to 275,937.60, 413,031.60 and 197,205.60

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Solution

The fourth proportional to 275,937.60, 413,031.60 and 197,205.60 is: 295,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,937.60 : 413,031.60 = 197,205.60 : x
  2. Step 2: Convert to fraction form
    275,937.60/413,031.60 = 197,205.60/x
  3. Step 3: Cross multiply
    275,937.60x = 413,031.60 × 197,205.60
  4. Step 4: Simplify right side
    275,937.60x = 81,452,144,496.96
  5. Step 5: Solve for x
    x = 81,452,144,496.96/275,937.60
  6. Step 6: Final answer
    x = 295,183.20

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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.