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Finding the Fourth Proportional to 470,828.89, 649,749.36 and 255,964.24

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Solution

The fourth proportional to 470,828.89, 649,749.36 and 255,964.24 is: 353,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,828.89 : 649,749.36 = 255,964.24 : x
  2. Step 2: Convert to fraction form
    470,828.89/649,749.36 = 255,964.24/x
  3. Step 3: Cross multiply
    470,828.89x = 649,749.36 × 255,964.24
  4. Step 4: Simplify right side
    470,828.89x = 166,312,601,122.89
  5. Step 5: Solve for x
    x = 166,312,601,122.89/470,828.89
  6. Step 6: Final answer
    x = 353,233.64

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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.