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Finding the Fourth Proportional to 471,175.82, 706,495.97 and 321,597.17

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Solution

The fourth proportional to 471,175.82, 706,495.97 and 321,597.17 is: 482,213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,175.82 : 706,495.97 = 321,597.17 : x
  2. Step 2: Convert to fraction form
    471,175.82/706,495.97 = 321,597.17/x
  3. Step 3: Cross multiply
    471,175.82x = 706,495.97 × 321,597.17
  4. Step 4: Simplify right side
    471,175.82x = 227,207,104,489.28
  5. Step 5: Solve for x
    x = 227,207,104,489.28/471,175.82
  6. Step 6: Final answer
    x = 482,213.00

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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.