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Finding the Fourth Proportional to 467,842.97, 645,622.52 and 263,893.25

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Solution

The fourth proportional to 467,842.97, 645,622.52 and 263,893.25 is: 364,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,842.97 : 645,622.52 = 263,893.25 : x
  2. Step 2: Convert to fraction form
    467,842.97/645,622.52 = 263,893.25/x
  3. Step 3: Cross multiply
    467,842.97x = 645,622.52 × 263,893.25
  4. Step 4: Simplify right side
    467,842.97x = 170,375,420,528.41
  5. Step 5: Solve for x
    x = 170,375,420,528.41/467,842.97
  6. Step 6: Final answer
    x = 364,172.24

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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.