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Finding the Fourth Proportional to 275,117.40, 412,676.10 and 189,496.35

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Solution

The fourth proportional to 275,117.40, 412,676.10 and 189,496.35 is: 284,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,117.40 : 412,676.10 = 189,496.35 : x
  2. Step 2: Convert to fraction form
    275,117.40/412,676.10 = 189,496.35/x
  3. Step 3: Cross multiply
    275,117.40x = 412,676.10 × 189,496.35
  4. Step 4: Simplify right side
    275,117.40x = 78,200,614,682.24
  5. Step 5: Solve for x
    x = 78,200,614,682.24/275,117.40
  6. Step 6: Final answer
    x = 284,244.53

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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.