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Finding the Fourth Proportional to 613,291.62, 919,872.68 and 164,057.82

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Solution

The fourth proportional to 613,291.62, 919,872.68 and 164,057.82 is: 246,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,291.62 : 919,872.68 = 164,057.82 : x
  2. Step 2: Convert to fraction form
    613,291.62/919,872.68 = 164,057.82/x
  3. Step 3: Cross multiply
    613,291.62x = 919,872.68 × 164,057.82
  4. Step 4: Simplify right side
    613,291.62x = 150,912,306,558.36
  5. Step 5: Solve for x
    x = 150,912,306,558.36/613,291.62
  6. Step 6: Final answer
    x = 246,069.41

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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.