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Finding the Fourth Proportional to 361,706.57, 499,109.19 and 198,320.10

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Solution

The fourth proportional to 361,706.57, 499,109.19 and 198,320.10 is: 273,656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,706.57 : 499,109.19 = 198,320.10 : x
  2. Step 2: Convert to fraction form
    361,706.57/499,109.19 = 198,320.10/x
  3. Step 3: Cross multiply
    361,706.57x = 499,109.19 × 198,320.10
  4. Step 4: Simplify right side
    361,706.57x = 98,983,384,471.72
  5. Step 5: Solve for x
    x = 98,983,384,471.72/361,706.57
  6. Step 6: Final answer
    x = 273,656.59

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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.