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Finding the Fourth Proportional to 497,843.40, 746,678.70 and 182,137.80

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Solution

The fourth proportional to 497,843.40, 746,678.70 and 182,137.80 is: 273,175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,843.40 : 746,678.70 = 182,137.80 : x
  2. Step 2: Convert to fraction form
    497,843.40/746,678.70 = 182,137.80/x
  3. Step 3: Cross multiply
    497,843.40x = 746,678.70 × 182,137.80
  4. Step 4: Simplify right side
    497,843.40x = 135,998,415,724.86
  5. Step 5: Solve for x
    x = 135,998,415,724.86/497,843.40
  6. Step 6: Final answer
    x = 273,175.09

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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.