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Finding the Fourth Proportional to 259,628.80, 389,414.40 and 72,659.20

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Solution

The fourth proportional to 259,628.80, 389,414.40 and 72,659.20 is: 108,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,628.80 : 389,414.40 = 72,659.20 : x
  2. Step 2: Convert to fraction form
    259,628.80/389,414.40 = 72,659.20/x
  3. Step 3: Cross multiply
    259,628.80x = 389,414.40 × 72,659.20
  4. Step 4: Simplify right side
    259,628.80x = 28,294,538,772.48
  5. Step 5: Solve for x
    x = 28,294,538,772.48/259,628.80
  6. Step 6: Final answer
    x = 108,980.74

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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.