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Finding the Fourth Proportional to 470,821.60, 649,736.40 and 277,237.68

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Solution

The fourth proportional to 470,821.60, 649,736.40 and 277,237.68 is: 382,589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,821.60 : 649,736.40 = 277,237.68 : x
  2. Step 2: Convert to fraction form
    470,821.60/649,736.40 = 277,237.68/x
  3. Step 3: Cross multiply
    470,821.60x = 649,736.40 × 277,237.68
  4. Step 4: Simplify right side
    470,821.60x = 180,131,412,147.55
  5. Step 5: Solve for x
    x = 180,131,412,147.55/470,821.60
  6. Step 6: Final answer
    x = 382,589.52

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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.