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Finding the Fourth Proportional to 468,194.64, 646,107.84 and 264,288.48

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Solution

The fourth proportional to 468,194.64, 646,107.84 and 264,288.48 is: 364,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,194.64 : 646,107.84 = 264,288.48 : x
  2. Step 2: Convert to fraction form
    468,194.64/646,107.84 = 264,288.48/x
  3. Step 3: Cross multiply
    468,194.64x = 646,107.84 × 264,288.48
  4. Step 4: Simplify right side
    468,194.64x = 170,758,858,949.68
  5. Step 5: Solve for x
    x = 170,758,858,949.68/468,194.64
  6. Step 6: Final answer
    x = 364,717.67

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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.