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Finding the Fourth Proportional to 361,098.11, 498,309.22 and 199,949.70

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Solution

The fourth proportional to 361,098.11, 498,309.22 and 199,949.70 is: 275,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,098.11 : 498,309.22 = 199,949.70 : x
  2. Step 2: Convert to fraction form
    361,098.11/498,309.22 = 199,949.70/x
  3. Step 3: Cross multiply
    361,098.11x = 498,309.22 × 199,949.70
  4. Step 4: Simplify right side
    361,098.11x = 99,636,778,361.84
  5. Step 5: Solve for x
    x = 99,636,778,361.84/361,098.11
  6. Step 6: Final answer
    x = 275,927.16

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1.5x scale

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.