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Finding the Fourth Proportional to 470,404.98, 649,164.39 and 255,548.43

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Solution

The fourth proportional to 470,404.98, 649,164.39 and 255,548.43 is: 352,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,404.98 : 649,164.39 = 255,548.43 : x
  2. Step 2: Convert to fraction form
    470,404.98/649,164.39 = 255,548.43/x
  3. Step 3: Cross multiply
    470,404.98x = 649,164.39 × 255,548.43
  4. Step 4: Simplify right side
    470,404.98x = 165,892,940,676.41
  5. Step 5: Solve for x
    x = 165,892,940,676.41/470,404.98
  6. Step 6: Final answer
    x = 352,659.83

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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.