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Finding the Fourth Proportional to 470,313.54, 649,023.84 and 266,361.48

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Solution

The fourth proportional to 470,313.54, 649,023.84 and 266,361.48 is: 367,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,313.54 : 649,023.84 = 266,361.48 : x
  2. Step 2: Convert to fraction form
    470,313.54/649,023.84 = 266,361.48/x
  3. Step 3: Cross multiply
    470,313.54x = 649,023.84 × 266,361.48
  4. Step 4: Simplify right side
    470,313.54x = 172,874,950,577.68
  5. Step 5: Solve for x
    x = 172,874,950,577.68/470,313.54
  6. Step 6: Final answer
    x = 367,573.83

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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.