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Finding the Fourth Proportional to 470,213.46, 648,907.42 and 276,634.80

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Solution

The fourth proportional to 470,213.46, 648,907.42 and 276,634.80 is: 381,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,213.46 : 648,907.42 = 276,634.80 : x
  2. Step 2: Convert to fraction form
    470,213.46/648,907.42 = 276,634.80/x
  3. Step 3: Cross multiply
    470,213.46x = 648,907.42 × 276,634.80
  4. Step 4: Simplify right side
    470,213.46x = 179,510,374,350.22
  5. Step 5: Solve for x
    x = 179,510,374,350.22/470,213.46
  6. Step 6: Final answer
    x = 381,763.58

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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.