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Finding the Fourth Proportional to 419,369.04, 628,560.81 and 194,253.84

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Solution

The fourth proportional to 419,369.04, 628,560.81 and 194,253.84 is: 291,152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,369.04 : 628,560.81 = 194,253.84 : x
  2. Step 2: Convert to fraction form
    419,369.04/628,560.81 = 194,253.84/x
  3. Step 3: Cross multiply
    419,369.04x = 628,560.81 × 194,253.84
  4. Step 4: Simplify right side
    419,369.04x = 122,100,351,016.01
  5. Step 5: Solve for x
    x = 122,100,351,016.01/419,369.04
  6. Step 6: Final answer
    x = 291,152.52

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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.