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Finding the Fourth Proportional to 341,175.98, 470,821.48 and 188,223.68

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Solution

The fourth proportional to 341,175.98, 470,821.48 and 188,223.68 is: 259,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,175.98 : 470,821.48 = 188,223.68 : x
  2. Step 2: Convert to fraction form
    341,175.98/470,821.48 = 188,223.68/x
  3. Step 3: Cross multiply
    341,175.98x = 470,821.48 × 188,223.68
  4. Step 4: Simplify right side
    341,175.98x = 88,619,752,295.14
  5. Step 5: Solve for x
    x = 88,619,752,295.14/341,175.98
  6. Step 6: Final answer
    x = 259,747.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.