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Finding the Fourth Proportional to 470,694.37, 649,553.28 and 255,832.86

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Solution

The fourth proportional to 470,694.37, 649,553.28 and 255,832.86 is: 353,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,694.37 : 649,553.28 = 255,832.86 : x
  2. Step 2: Convert to fraction form
    470,694.37/649,553.28 = 255,832.86/x
  3. Step 3: Cross multiply
    470,694.37x = 649,553.28 × 255,832.86
  4. Step 4: Simplify right side
    470,694.37x = 166,177,069,340.63
  5. Step 5: Solve for x
    x = 166,177,069,340.63/470,694.37
  6. Step 6: Final answer
    x = 353,046.65

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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.