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Finding the Fourth Proportional to 361,219.62, 498,465.29 and 197,876.84

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Solution

The fourth proportional to 361,219.62, 498,465.29 and 197,876.84 is: 273,060.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,219.62 : 498,465.29 = 197,876.84 : x
  2. Step 2: Convert to fraction form
    361,219.62/498,465.29 = 197,876.84/x
  3. Step 3: Cross multiply
    361,219.62x = 498,465.29 × 197,876.84
  4. Step 4: Simplify right side
    361,219.62x = 98,634,735,000.85
  5. Step 5: Solve for x
    x = 98,634,735,000.85/361,219.62
  6. Step 6: Final answer
    x = 273,060.29

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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.