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Finding the Fourth Proportional to 419,228.39, 628,940.06 and 119,713.07

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Solution

The fourth proportional to 419,228.39, 628,940.06 and 119,713.07 is: 179,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,228.39 : 628,940.06 = 119,713.07 : x
  2. Step 2: Convert to fraction form
    419,228.39/628,940.06 = 119,713.07/x
  3. Step 3: Cross multiply
    419,228.39x = 628,940.06 × 119,713.07
  4. Step 4: Simplify right side
    419,228.39x = 75,292,345,428.58
  5. Step 5: Solve for x
    x = 75,292,345,428.58/419,228.39
  6. Step 6: Final answer
    x = 179,597.44

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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.