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Finding the Fourth Proportional to 307,493.10, 424,494.11 and 191,244.04

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Solution

The fourth proportional to 307,493.10, 424,494.11 and 191,244.04 is: 264,012.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,493.10 : 424,494.11 = 191,244.04 : x
  2. Step 2: Convert to fraction form
    307,493.10/424,494.11 = 191,244.04/x
  3. Step 3: Cross multiply
    307,493.10x = 424,494.11 × 191,244.04
  4. Step 4: Simplify right side
    307,493.10x = 81,181,969,147.04
  5. Step 5: Solve for x
    x = 81,181,969,147.04/307,493.10
  6. Step 6: Final answer
    x = 264,012.33

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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.