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Finding the Fourth Proportional to 419,144.03, 628,363.40 and 182,308.34

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Solution

The fourth proportional to 419,144.03, 628,363.40 and 182,308.34 is: 273,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,144.03 : 628,363.40 = 182,308.34 : x
  2. Step 2: Convert to fraction form
    419,144.03/628,363.40 = 182,308.34/x
  3. Step 3: Cross multiply
    419,144.03x = 628,363.40 × 182,308.34
  4. Step 4: Simplify right side
    419,144.03x = 114,555,886,008.32
  5. Step 5: Solve for x
    x = 114,555,886,008.32/419,144.03
  6. Step 6: Final answer
    x = 273,309.12

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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.