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Finding the Fourth Proportional to 242,845.44, 364,406.40 and 193,908.48

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Solution

The fourth proportional to 242,845.44, 364,406.40 and 193,908.48 is: 290,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,845.44 : 364,406.40 = 193,908.48 : x
  2. Step 2: Convert to fraction form
    242,845.44/364,406.40 = 193,908.48/x
  3. Step 3: Cross multiply
    242,845.44x = 364,406.40 × 193,908.48
  4. Step 4: Simplify right side
    242,845.44x = 70,661,491,126.27
  5. Step 5: Solve for x
    x = 70,661,491,126.27/242,845.44
  6. Step 6: Final answer
    x = 290,973.10

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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.