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Finding the Fourth Proportional to 470,815.58, 649,738.32 and 255,970.10

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Solution

The fourth proportional to 470,815.58, 649,738.32 and 255,970.10 is: 353,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,815.58 : 649,738.32 = 255,970.10 : x
  2. Step 2: Convert to fraction form
    470,815.58/649,738.32 = 255,970.10/x
  3. Step 3: Cross multiply
    470,815.58x = 649,738.32 × 255,970.10
  4. Step 4: Simplify right side
    470,815.58x = 166,313,582,744.23
  5. Step 5: Solve for x
    x = 166,313,582,744.23/470,815.58
  6. Step 6: Final answer
    x = 353,245.71

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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.