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Finding the Fourth Proportional to 419,362.68, 628,097.67 and 194,250.18

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Solution

The fourth proportional to 419,362.68, 628,097.67 and 194,250.18 is: 290,936.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,362.68 : 628,097.67 = 194,250.18 : x
  2. Step 2: Convert to fraction form
    419,362.68/628,097.67 = 194,250.18/x
  3. Step 3: Cross multiply
    419,362.68x = 628,097.67 × 194,250.18
  4. Step 4: Simplify right side
    419,362.68x = 122,008,085,455.08
  5. Step 5: Solve for x
    x = 122,008,085,455.08/419,362.68
  6. Step 6: Final answer
    x = 290,936.92

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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.