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Finding the Fourth Proportional to 360,944.60, 498,097.50 and 199,796.18

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Solution

The fourth proportional to 360,944.60, 498,097.50 and 199,796.18 is: 275,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,944.60 : 498,097.50 = 199,796.18 : x
  2. Step 2: Convert to fraction form
    360,944.60/498,097.50 = 199,796.18/x
  3. Step 3: Cross multiply
    360,944.60x = 498,097.50 × 199,796.18
  4. Step 4: Simplify right side
    360,944.60x = 99,517,974,527.83
  5. Step 5: Solve for x
    x = 99,517,974,527.83/360,944.60
  6. Step 6: Final answer
    x = 275,715.38

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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.