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Finding the Fourth Proportional to 414,539.40, 621,809.10 and 274,456.20

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Solution

The fourth proportional to 414,539.40, 621,809.10 and 274,456.20 is: 411,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,539.40 : 621,809.10 = 274,456.20 : x
  2. Step 2: Convert to fraction form
    414,539.40/621,809.10 = 274,456.20/x
  3. Step 3: Cross multiply
    414,539.40x = 621,809.10 × 274,456.20
  4. Step 4: Simplify right side
    414,539.40x = 170,659,362,711.42
  5. Step 5: Solve for x
    x = 170,659,362,711.42/414,539.40
  6. Step 6: Final answer
    x = 411,684.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.