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Finding the Fourth Proportional to 354,241.44, 488,846.88 and 193,097.88

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Solution

The fourth proportional to 354,241.44, 488,846.88 and 193,097.88 is: 266,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,241.44 : 488,846.88 = 193,097.88 : x
  2. Step 2: Convert to fraction form
    354,241.44/488,846.88 = 193,097.88/x
  3. Step 3: Cross multiply
    354,241.44x = 488,846.88 × 193,097.88
  4. Step 4: Simplify right side
    354,241.44x = 94,395,296,172.61
  5. Step 5: Solve for x
    x = 94,395,296,172.61/354,241.44
  6. Step 6: Final answer
    x = 266,471.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.