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Finding the Fourth Proportional to 493,971.96, 681,682 and 267,617.48

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Solution

The fourth proportional to 493,971.96, 681,682 and 267,617.48 is: 369,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,971.96 : 681,682 = 267,617.48 : x
  2. Step 2: Convert to fraction form
    493,971.96/681,682 = 267,617.48/x
  3. Step 3: Cross multiply
    493,971.96x = 681,682 × 267,617.48
  4. Step 4: Simplify right side
    493,971.96x = 182,430,019,001.36
  5. Step 5: Solve for x
    x = 182,430,019,001.36/493,971.96
  6. Step 6: Final answer
    x = 369,312.50

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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.