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Finding the Fourth Proportional to 481,905.86, 722,853.56 and 197,533.01

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Solution

The fourth proportional to 481,905.86, 722,853.56 and 197,533.01 is: 296,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,905.86 : 722,853.56 = 197,533.01 : x
  2. Step 2: Convert to fraction form
    481,905.86/722,853.56 = 197,533.01/x
  3. Step 3: Cross multiply
    481,905.86x = 722,853.56 × 197,533.01
  4. Step 4: Simplify right side
    481,905.86x = 142,787,441,796.98
  5. Step 5: Solve for x
    x = 142,787,441,796.98/481,905.86
  6. Step 6: Final answer
    x = 296,297.38

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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.