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Finding the Fourth Proportional to 493,998.48, 681,717.77 and 267,643.98

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Solution

The fourth proportional to 493,998.48, 681,717.77 and 267,643.98 is: 369,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,998.48 : 681,717.77 = 267,643.98 : x
  2. Step 2: Convert to fraction form
    493,998.48/681,717.77 = 267,643.98/x
  3. Step 3: Cross multiply
    493,998.48x = 681,717.77 × 267,643.98
  4. Step 4: Simplify right side
    493,998.48x = 182,457,656,864.97
  5. Step 5: Solve for x
    x = 182,457,656,864.97/493,998.48
  6. Step 6: Final answer
    x = 369,348.62

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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.