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Finding the Fourth Proportional to 418,202.12, 627,618.65 and 193,720.07

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Solution

The fourth proportional to 418,202.12, 627,618.65 and 193,720.07 is: 290,726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,202.12 : 627,618.65 = 193,720.07 : x
  2. Step 2: Convert to fraction form
    418,202.12/627,618.65 = 193,720.07/x
  3. Step 3: Cross multiply
    418,202.12x = 627,618.65 × 193,720.07
  4. Step 4: Simplify right side
    418,202.12x = 121,582,324,704.61
  5. Step 5: Solve for x
    x = 121,582,324,704.61/418,202.12
  6. Step 6: Final answer
    x = 290,726.23

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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.