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Finding the Fourth Proportional to 335,043.75, 462,152.11 and 198,979.54

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Solution

The fourth proportional to 335,043.75, 462,152.11 and 198,979.54 is: 274,468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,043.75 : 462,152.11 = 198,979.54 : x
  2. Step 2: Convert to fraction form
    335,043.75/462,152.11 = 198,979.54/x
  3. Step 3: Cross multiply
    335,043.75x = 462,152.11 × 198,979.54
  4. Step 4: Simplify right side
    335,043.75x = 91,958,814,257.83
  5. Step 5: Solve for x
    x = 91,958,814,257.83/335,043.75
  6. Step 6: Final answer
    x = 274,468.08

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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.