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Finding the Fourth Proportional to 568,322, 852,498.36 and 174,338

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Solution

The fourth proportional to 568,322, 852,498.36 and 174,338 is: 261,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,322 : 852,498.36 = 174,338 : x
  2. Step 2: Convert to fraction form
    568,322/852,498.36 = 174,338/x
  3. Step 3: Cross multiply
    568,322x = 852,498.36 × 174,338
  4. Step 4: Simplify right side
    568,322x = 148,622,859,085.68
  5. Step 5: Solve for x
    x = 148,622,859,085.68/568,322
  6. Step 6: Final answer
    x = 261,511.71

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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.