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Finding the Fourth Proportional to 419,019.14, 628,652.64 and 241,653.44

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Solution

The fourth proportional to 419,019.14, 628,652.64 and 241,653.44 is: 362,551.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,019.14 : 628,652.64 = 241,653.44 : x
  2. Step 2: Convert to fraction form
    419,019.14/628,652.64 = 241,653.44/x
  3. Step 3: Cross multiply
    419,019.14x = 628,652.64 × 241,653.44
  4. Step 4: Simplify right side
    419,019.14x = 151,916,073,021.08
  5. Step 5: Solve for x
    x = 151,916,073,021.08/419,019.14
  6. Step 6: Final answer
    x = 362,551.63

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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.