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Finding the Fourth Proportional to 265,249.96, 397,995.30 and 242,825.80

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Solution

The fourth proportional to 265,249.96, 397,995.30 and 242,825.80 is: 364,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,249.96 : 397,995.30 = 242,825.80 : x
  2. Step 2: Convert to fraction form
    265,249.96/397,995.30 = 242,825.80/x
  3. Step 3: Cross multiply
    265,249.96x = 397,995.30 × 242,825.80
  4. Step 4: Simplify right side
    265,249.96x = 96,643,527,118.74
  5. Step 5: Solve for x
    x = 96,643,527,118.74/265,249.96
  6. Step 6: Final answer
    x = 364,348.88

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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.