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Finding the Fourth Proportional to 493,963.47, 681,669.54 and 267,608.97

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Solution

The fourth proportional to 493,963.47, 681,669.54 and 267,608.97 is: 369,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,963.47 : 681,669.54 = 267,608.97 : x
  2. Step 2: Convert to fraction form
    493,963.47/681,669.54 = 267,608.97/x
  3. Step 3: Cross multiply
    493,963.47x = 681,669.54 × 267,608.97
  4. Step 4: Simplify right side
    493,963.47x = 182,420,883,479.77
  5. Step 5: Solve for x
    x = 182,420,883,479.77/493,963.47
  6. Step 6: Final answer
    x = 369,300.35

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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.