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Finding the Fourth Proportional to 259,932.80, 389,284.80 and 176,374.40

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Solution

The fourth proportional to 259,932.80, 389,284.80 and 176,374.40 is: 264,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,932.80 : 389,284.80 = 176,374.40 : x
  2. Step 2: Convert to fraction form
    259,932.80/389,284.80 = 176,374.40/x
  3. Step 3: Cross multiply
    259,932.80x = 389,284.80 × 176,374.40
  4. Step 4: Simplify right side
    259,932.80x = 68,659,873,029.12
  5. Step 5: Solve for x
    x = 68,659,873,029.12/259,932.80
  6. Step 6: Final answer
    x = 264,144.71

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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.