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Finding the Fourth Proportional to 294,049.59, 441,077.78 and 279,708.31

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Solution

The fourth proportional to 294,049.59, 441,077.78 and 279,708.31 is: 419,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,049.59 : 441,077.78 = 279,708.31 : x
  2. Step 2: Convert to fraction form
    294,049.59/441,077.78 = 279,708.31/x
  3. Step 3: Cross multiply
    294,049.59x = 441,077.78 × 279,708.31
  4. Step 4: Simplify right side
    294,049.59x = 123,373,120,422.35
  5. Step 5: Solve for x
    x = 123,373,120,422.35/294,049.59
  6. Step 6: Final answer
    x = 419,565.69

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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.