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Finding the Fourth Proportional to 410,657.60, 614,949.60 and 327,713.60

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Solution

The fourth proportional to 410,657.60, 614,949.60 and 327,713.60 is: 490,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,657.60 : 614,949.60 = 327,713.60 : x
  2. Step 2: Convert to fraction form
    410,657.60/614,949.60 = 327,713.60/x
  3. Step 3: Cross multiply
    410,657.60x = 614,949.60 × 327,713.60
  4. Step 4: Simplify right side
    410,657.60x = 201,527,347,234.56
  5. Step 5: Solve for x
    x = 201,527,347,234.56/410,657.60
  6. Step 6: Final answer
    x = 490,743.01

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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.