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Finding the Fourth Proportional to 468,512.72, 646,558.48 and 264,629.28

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Solution

The fourth proportional to 468,512.72, 646,558.48 and 264,629.28 is: 365,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,512.72 : 646,558.48 = 264,629.28 : x
  2. Step 2: Convert to fraction form
    468,512.72/646,558.48 = 264,629.28/x
  3. Step 3: Cross multiply
    468,512.72x = 646,558.48 × 264,629.28
  4. Step 4: Simplify right side
    468,512.72x = 171,098,305,040.29
  5. Step 5: Solve for x
    x = 171,098,305,040.29/468,512.72
  6. Step 6: Final answer
    x = 365,194.58

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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.