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Finding the Fourth Proportional to 419,532.44, 628,798.89 and 241,671.02

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Solution

The fourth proportional to 419,532.44, 628,798.89 and 241,671.02 is: 362,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,532.44 : 628,798.89 = 241,671.02 : x
  2. Step 2: Convert to fraction form
    419,532.44/628,798.89 = 241,671.02/x
  3. Step 3: Cross multiply
    419,532.44x = 628,798.89 × 241,671.02
  4. Step 4: Simplify right side
    419,532.44x = 151,962,469,121.17
  5. Step 5: Solve for x
    x = 151,962,469,121.17/419,532.44
  6. Step 6: Final answer
    x = 362,218.64

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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.