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Finding the Fourth Proportional to 510,841.26, 766,436.94 and 195,388.38

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Solution

The fourth proportional to 510,841.26, 766,436.94 and 195,388.38 is: 293,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,841.26 : 766,436.94 = 195,388.38 : x
  2. Step 2: Convert to fraction form
    510,841.26/766,436.94 = 195,388.38/x
  3. Step 3: Cross multiply
    510,841.26x = 766,436.94 × 195,388.38
  4. Step 4: Simplify right side
    510,841.26x = 149,752,872,078.76
  5. Step 5: Solve for x
    x = 149,752,872,078.76/510,841.26
  6. Step 6: Final answer
    x = 293,149.52

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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.