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Finding the Fourth Proportional to 294,057.60, 441,089.80 and 279,716.32

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Solution

The fourth proportional to 294,057.60, 441,089.80 and 279,716.32 is: 419,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,057.60 : 441,089.80 = 279,716.32 : x
  2. Step 2: Convert to fraction form
    294,057.60/441,089.80 = 279,716.32/x
  3. Step 3: Cross multiply
    294,057.60x = 441,089.80 × 279,716.32
  4. Step 4: Simplify right side
    294,057.60x = 123,380,015,645.54
  5. Step 5: Solve for x
    x = 123,380,015,645.54/294,057.60
  6. Step 6: Final answer
    x = 419,577.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.