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Finding the Fourth Proportional to 471,229.20, 706,066.20 and 401,245.20

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Solution

The fourth proportional to 471,229.20, 706,066.20 and 401,245.20 is: 601,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,229.20 : 706,066.20 = 401,245.20 : x
  2. Step 2: Convert to fraction form
    471,229.20/706,066.20 = 401,245.20/x
  3. Step 3: Cross multiply
    471,229.20x = 706,066.20 × 401,245.20
  4. Step 4: Simplify right side
    471,229.20x = 283,305,673,632.24
  5. Step 5: Solve for x
    x = 283,305,673,632.24/471,229.20
  6. Step 6: Final answer
    x = 601,205.68

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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.