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Finding the Fourth Proportional to 418,247.96, 627,019.25 and 181,412.33

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Solution

The fourth proportional to 418,247.96, 627,019.25 and 181,412.33 is: 271,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,247.96 : 627,019.25 = 181,412.33 : x
  2. Step 2: Convert to fraction form
    418,247.96/627,019.25 = 181,412.33/x
  3. Step 3: Cross multiply
    418,247.96x = 627,019.25 × 181,412.33
  4. Step 4: Simplify right side
    418,247.96x = 113,749,019,055.20
  5. Step 5: Solve for x
    x = 113,749,019,055.20/418,247.96
  6. Step 6: Final answer
    x = 271,965.51

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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.