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Finding the Fourth Proportional to 471,166.44, 706,757.16 and 116,180.58

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Solution

The fourth proportional to 471,166.44, 706,757.16 and 116,180.58 is: 174,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,166.44 : 706,757.16 = 116,180.58 : x
  2. Step 2: Convert to fraction form
    471,166.44/706,757.16 = 116,180.58/x
  3. Step 3: Cross multiply
    471,166.44x = 706,757.16 × 116,180.58
  4. Step 4: Simplify right side
    471,166.44x = 82,111,456,767.95
  5. Step 5: Solve for x
    x = 82,111,456,767.95/471,166.44
  6. Step 6: Final answer
    x = 174,272.72

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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.