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Finding the Fourth Proportional to 283,864.50, 425,796.82 and 115,476.44

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Solution

The fourth proportional to 283,864.50, 425,796.82 and 115,476.44 is: 173,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,864.50 : 425,796.82 = 115,476.44 : x
  2. Step 2: Convert to fraction form
    283,864.50/425,796.82 = 115,476.44/x
  3. Step 3: Cross multiply
    283,864.50x = 425,796.82 × 115,476.44
  4. Step 4: Simplify right side
    283,864.50x = 49,169,498,519.25
  5. Step 5: Solve for x
    x = 49,169,498,519.25/283,864.50
  6. Step 6: Final answer
    x = 173,214.68

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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.