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Finding the Fourth Proportional to 597,676.90, 824,770.11 and 325,738.96

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Solution

The fourth proportional to 597,676.90, 824,770.11 and 325,738.96 is: 449,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,676.90 : 824,770.11 = 325,738.96 : x
  2. Step 2: Convert to fraction form
    597,676.90/824,770.11 = 325,738.96/x
  3. Step 3: Cross multiply
    597,676.90x = 824,770.11 × 325,738.96
  4. Step 4: Simplify right side
    597,676.90x = 268,659,755,011.37
  5. Step 5: Solve for x
    x = 268,659,755,011.37/597,676.90
  6. Step 6: Final answer
    x = 449,506.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.