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Finding the Fourth Proportional to 307,416.53, 461,090.16 and 82,793.41

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Solution

The fourth proportional to 307,416.53, 461,090.16 and 82,793.41 is: 124,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,416.53 : 461,090.16 = 82,793.41 : x
  2. Step 2: Convert to fraction form
    307,416.53/461,090.16 = 82,793.41/x
  3. Step 3: Cross multiply
    307,416.53x = 461,090.16 × 82,793.41
  4. Step 4: Simplify right side
    307,416.53x = 38,175,225,511.12
  5. Step 5: Solve for x
    x = 38,175,225,511.12/307,416.53
  6. Step 6: Final answer
    x = 124,180.78

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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.