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Finding the Fourth Proportional to 462,101.52, 693,418.52 and 195,841.04

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Solution

The fourth proportional to 462,101.52, 693,418.52 and 195,841.04 is: 293,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,101.52 : 693,418.52 = 195,841.04 : x
  2. Step 2: Convert to fraction form
    462,101.52/693,418.52 = 195,841.04/x
  3. Step 3: Cross multiply
    462,101.52x = 693,418.52 × 195,841.04
  4. Step 4: Simplify right side
    462,101.52x = 135,799,804,112.06
  5. Step 5: Solve for x
    x = 135,799,804,112.06/462,101.52
  6. Step 6: Final answer
    x = 293,874.39

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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.