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Finding the Fourth Proportional to 470,907.43, 649,860.38 and 256,048.95

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Solution

The fourth proportional to 470,907.43, 649,860.38 and 256,048.95 is: 353,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,907.43 : 649,860.38 = 256,048.95 : x
  2. Step 2: Convert to fraction form
    470,907.43/649,860.38 = 256,048.95/x
  3. Step 3: Cross multiply
    470,907.43x = 649,860.38 × 256,048.95
  4. Step 4: Simplify right side
    470,907.43x = 166,396,067,945.60
  5. Step 5: Solve for x
    x = 166,396,067,945.60/470,907.43
  6. Step 6: Final answer
    x = 353,351.97

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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.