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Finding the Fourth Proportional to 470,908.44, 649,861.76 and 256,049.94

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Solution

The fourth proportional to 470,908.44, 649,861.76 and 256,049.94 is: 353,353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,908.44 : 649,861.76 = 256,049.94 : x
  2. Step 2: Convert to fraction form
    470,908.44/649,861.76 = 256,049.94/x
  3. Step 3: Cross multiply
    470,908.44x = 649,861.76 × 256,049.94
  4. Step 4: Simplify right side
    470,908.44x = 166,397,064,656.29
  5. Step 5: Solve for x
    x = 166,397,064,656.29/470,908.44
  6. Step 6: Final answer
    x = 353,353.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.