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Finding the Fourth Proportional to 470,408.23, 649,168.89 and 255,551.68

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Solution

The fourth proportional to 470,408.23, 649,168.89 and 255,551.68 is: 352,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,408.23 : 649,168.89 = 255,551.68 : x
  2. Step 2: Convert to fraction form
    470,408.23/649,168.89 = 255,551.68/x
  3. Step 3: Cross multiply
    470,408.23x = 649,168.89 × 255,551.68
  4. Step 4: Simplify right side
    470,408.23x = 165,896,200,443.24
  5. Step 5: Solve for x
    x = 165,896,200,443.24/470,408.23
  6. Step 6: Final answer
    x = 352,664.32

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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.