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Finding the Fourth Proportional to 471,164.83, 650,220.41 and 264,446.07

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Solution

The fourth proportional to 471,164.83, 650,220.41 and 264,446.07 is: 364,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,164.83 : 650,220.41 = 264,446.07 : x
  2. Step 2: Convert to fraction form
    471,164.83/650,220.41 = 264,446.07/x
  3. Step 3: Cross multiply
    471,164.83x = 650,220.41 × 264,446.07
  4. Step 4: Simplify right side
    471,164.83x = 171,948,230,736.06
  5. Step 5: Solve for x
    x = 171,948,230,736.06/471,164.83
  6. Step 6: Final answer
    x = 364,942.84

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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.