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Finding the Fourth Proportional to 361,003.77, 498,166.26 and 197,628.96

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Solution

The fourth proportional to 361,003.77, 498,166.26 and 197,628.96 is: 272,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,003.77 : 498,166.26 = 197,628.96 : x
  2. Step 2: Convert to fraction form
    361,003.77/498,166.26 = 197,628.96/x
  3. Step 3: Cross multiply
    361,003.77x = 498,166.26 × 197,628.96
  4. Step 4: Simplify right side
    361,003.77x = 98,452,079,870.89
  5. Step 5: Solve for x
    x = 98,452,079,870.89/361,003.77
  6. Step 6: Final answer
    x = 272,717.59

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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.