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Finding the Fourth Proportional to 361,097.58, 498,308.50 and 199,949.17

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Solution

The fourth proportional to 361,097.58, 498,308.50 and 199,949.17 is: 275,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,097.58 : 498,308.50 = 199,949.17 : x
  2. Step 2: Convert to fraction form
    361,097.58/498,308.50 = 199,949.17/x
  3. Step 3: Cross multiply
    361,097.58x = 498,308.50 × 199,949.17
  4. Step 4: Simplify right side
    361,097.58x = 99,636,370,978.95
  5. Step 5: Solve for x
    x = 99,636,370,978.95/361,097.58
  6. Step 6: Final answer
    x = 275,926.44

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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.