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Finding the Fourth Proportional to 470,245.60, 648,942.74 and 255,387.20

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Solution

The fourth proportional to 470,245.60, 648,942.74 and 255,387.20 is: 352,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,245.60 : 648,942.74 = 255,387.20 : x
  2. Step 2: Convert to fraction form
    470,245.60/648,942.74 = 255,387.20/x
  3. Step 3: Cross multiply
    470,245.60x = 648,942.74 × 255,387.20
  4. Step 4: Simplify right side
    470,245.60x = 165,731,667,560.05
  5. Step 5: Solve for x
    x = 165,731,667,560.05/470,245.60
  6. Step 6: Final answer
    x = 352,436.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.