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Finding the Fourth Proportional to 269,071.92, 403,608.38 and 252,630.46

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Solution

The fourth proportional to 269,071.92, 403,608.38 and 252,630.46 is: 378,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,071.92 : 403,608.38 = 252,630.46 : x
  2. Step 2: Convert to fraction form
    269,071.92/403,608.38 = 252,630.46/x
  3. Step 3: Cross multiply
    269,071.92x = 403,608.38 × 252,630.46
  4. Step 4: Simplify right side
    269,071.92x = 101,963,770,699.26
  5. Step 5: Solve for x
    x = 101,963,770,699.26/269,071.92
  6. Step 6: Final answer
    x = 378,946.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.