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Finding the Fourth Proportional to 360,994.12, 498,224.02 and 208,003.02

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Solution

The fourth proportional to 360,994.12, 498,224.02 and 208,003.02 is: 287,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,994.12 : 498,224.02 = 208,003.02 : x
  2. Step 2: Convert to fraction form
    360,994.12/498,224.02 = 208,003.02/x
  3. Step 3: Cross multiply
    360,994.12x = 498,224.02 × 208,003.02
  4. Step 4: Simplify right side
    360,994.12x = 103,632,100,796.54
  5. Step 5: Solve for x
    x = 103,632,100,796.54/360,994.12
  6. Step 6: Final answer
    x = 287,074.21

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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.