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Finding the Fourth Proportional to 469,396.92, 704,183.04 and 213,247.48

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Solution

The fourth proportional to 469,396.92, 704,183.04 and 213,247.48 is: 319,911.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,396.92 : 704,183.04 = 213,247.48 : x
  2. Step 2: Convert to fraction form
    469,396.92/704,183.04 = 213,247.48/x
  3. Step 3: Cross multiply
    469,396.92x = 704,183.04 × 213,247.48
  4. Step 4: Simplify right side
    469,396.92x = 150,165,254,151.59
  5. Step 5: Solve for x
    x = 150,165,254,151.59/469,396.92
  6. Step 6: Final answer
    x = 319,911.03

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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.