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Finding the Fourth Proportional to 414,447.54, 621,671.31 and 274,173.36

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Solution

The fourth proportional to 414,447.54, 621,671.31 and 274,173.36 is: 411,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,447.54 : 621,671.31 = 274,173.36 : x
  2. Step 2: Convert to fraction form
    414,447.54/621,671.31 = 274,173.36/x
  3. Step 3: Cross multiply
    414,447.54x = 621,671.31 × 274,173.36
  4. Step 4: Simplify right side
    414,447.54x = 170,445,711,878.30
  5. Step 5: Solve for x
    x = 170,445,711,878.30/414,447.54
  6. Step 6: Final answer
    x = 411,260.04

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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.