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Finding the Fourth Proportional to 304,200.52, 455,979 and 114,578.84

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Solution

The fourth proportional to 304,200.52, 455,979 and 114,578.84 is: 171,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,200.52 : 455,979 = 114,578.84 : x
  2. Step 2: Convert to fraction form
    304,200.52/455,979 = 114,578.84/x
  3. Step 3: Cross multiply
    304,200.52x = 455,979 × 114,578.84
  4. Step 4: Simplify right side
    304,200.52x = 52,245,542,604.47
  5. Step 5: Solve for x
    x = 52,245,542,604.47/304,200.52
  6. Step 6: Final answer
    x = 171,747.05

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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.