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Finding the Fourth Proportional to 470,634.27, 649,480.32 and 255,774.33

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Solution

The fourth proportional to 470,634.27, 649,480.32 and 255,774.33 is: 352,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,634.27 : 649,480.32 = 255,774.33 : x
  2. Step 2: Convert to fraction form
    470,634.27/649,480.32 = 255,774.33/x
  3. Step 3: Cross multiply
    470,634.27x = 649,480.32 × 255,774.33
  4. Step 4: Simplify right side
    470,634.27x = 166,120,393,696.19
  5. Step 5: Solve for x
    x = 166,120,393,696.19/470,634.27
  6. Step 6: Final answer
    x = 352,971.31

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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.