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Finding the Fourth Proportional to 419,467.02, 628,768.53 and 182,765.58

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Solution

The fourth proportional to 419,467.02, 628,768.53 and 182,765.58 is: 273,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,467.02 : 628,768.53 = 182,765.58 : x
  2. Step 2: Convert to fraction form
    419,467.02/628,768.53 = 182,765.58/x
  3. Step 3: Cross multiply
    419,467.02x = 628,768.53 × 182,765.58
  4. Step 4: Simplify right side
    419,467.02x = 114,917,245,071.20
  5. Step 5: Solve for x
    x = 114,917,245,071.20/419,467.02
  6. Step 6: Final answer
    x = 273,960.14

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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.