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Finding the Fourth Proportional to 470,857.14, 649,801.72 and 255,996.54

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Solution

The fourth proportional to 470,857.14, 649,801.72 and 255,996.54 is: 353,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,857.14 : 649,801.72 = 255,996.54 : x
  2. Step 2: Convert to fraction form
    470,857.14/649,801.72 = 255,996.54/x
  3. Step 3: Cross multiply
    470,857.14x = 649,801.72 × 255,996.54
  4. Step 4: Simplify right side
    470,857.14x = 166,346,992,006.05
  5. Step 5: Solve for x
    x = 166,346,992,006.05/470,857.14
  6. Step 6: Final answer
    x = 353,285.48

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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.