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Finding the Fourth Proportional to 470,896.62, 649,819.42 and 256,036.86

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Solution

The fourth proportional to 470,896.62, 649,819.42 and 256,036.86 is: 353,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,896.62 : 649,819.42 = 256,036.86 : x
  2. Step 2: Convert to fraction form
    470,896.62/649,819.42 = 256,036.86/x
  3. Step 3: Cross multiply
    470,896.62x = 649,819.42 × 256,036.86
  4. Step 4: Simplify right side
    470,896.62x = 166,377,723,863.82
  5. Step 5: Solve for x
    x = 166,377,723,863.82/470,896.62
  6. Step 6: Final answer
    x = 353,321.13

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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.