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Finding the Fourth Proportional to 347,157.96, 520,064.40 and 196,943.85

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Solution

The fourth proportional to 347,157.96, 520,064.40 and 196,943.85 is: 295,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,157.96 : 520,064.40 = 196,943.85 : x
  2. Step 2: Convert to fraction form
    347,157.96/520,064.40 = 196,943.85/x
  3. Step 3: Cross multiply
    347,157.96x = 520,064.40 × 196,943.85
  4. Step 4: Simplify right side
    347,157.96x = 102,423,485,183.94
  5. Step 5: Solve for x
    x = 102,423,485,183.94/347,157.96
  6. Step 6: Final answer
    x = 295,034.24

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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.