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Finding the Fourth Proportional to 418,196.49, 627,610.20 and 193,714.43

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Solution

The fourth proportional to 418,196.49, 627,610.20 and 193,714.43 is: 290,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,196.49 : 627,610.20 = 193,714.43 : x
  2. Step 2: Convert to fraction form
    418,196.49/627,610.20 = 193,714.43/x
  3. Step 3: Cross multiply
    418,196.49x = 627,610.20 × 193,714.43
  4. Step 4: Simplify right side
    418,196.49x = 121,577,149,017.14
  5. Step 5: Solve for x
    x = 121,577,149,017.14/418,196.49
  6. Step 6: Final answer
    x = 290,717.77

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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.