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Finding the Fourth Proportional to 414,062.70, 620,940.45 and 164,693.10

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Solution

The fourth proportional to 414,062.70, 620,940.45 and 164,693.10 is: 246,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,062.70 : 620,940.45 = 164,693.10 : x
  2. Step 2: Convert to fraction form
    414,062.70/620,940.45 = 164,693.10/x
  3. Step 3: Cross multiply
    414,062.70x = 620,940.45 × 164,693.10
  4. Step 4: Simplify right side
    414,062.70x = 102,264,607,625.90
  5. Step 5: Solve for x
    x = 102,264,607,625.90/414,062.70
  6. Step 6: Final answer
    x = 246,978.56

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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.