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Finding the Fourth Proportional to 470,968.70, 649,965.13 and 277,505.33

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Solution

The fourth proportional to 470,968.70, 649,965.13 and 277,505.33 is: 382,974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,968.70 : 649,965.13 = 277,505.33 : x
  2. Step 2: Convert to fraction form
    470,968.70/649,965.13 = 277,505.33/x
  3. Step 3: Cross multiply
    470,968.70x = 649,965.13 × 277,505.33
  4. Step 4: Simplify right side
    470,968.70x = 180,368,783,945.55
  5. Step 5: Solve for x
    x = 180,368,783,945.55/470,968.70
  6. Step 6: Final answer
    x = 382,974.04

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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.