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Finding the Fourth Proportional to 412,842.60, 619,652.70 and 255,378.60

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Solution

The fourth proportional to 412,842.60, 619,652.70 and 255,378.60 is: 383,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,842.60 : 619,652.70 = 255,378.60 : x
  2. Step 2: Convert to fraction form
    412,842.60/619,652.70 = 255,378.60/x
  3. Step 3: Cross multiply
    412,842.60x = 619,652.70 × 255,378.60
  4. Step 4: Simplify right side
    412,842.60x = 158,246,039,012.22
  5. Step 5: Solve for x
    x = 158,246,039,012.22/412,842.60
  6. Step 6: Final answer
    x = 383,308.41

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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.