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Finding the Fourth Proportional to 397,183.53, 595,770.10 and 97,666.70

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Solution

The fourth proportional to 397,183.53, 595,770.10 and 97,666.70 is: 146,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,183.53 : 595,770.10 = 97,666.70 : x
  2. Step 2: Convert to fraction form
    397,183.53/595,770.10 = 97,666.70/x
  3. Step 3: Cross multiply
    397,183.53x = 595,770.10 × 97,666.70
  4. Step 4: Simplify right side
    397,183.53x = 58,186,899,137.34
  5. Step 5: Solve for x
    x = 58,186,899,137.34/397,183.53
  6. Step 6: Final answer
    x = 146,498.77

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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.