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Finding the Fourth Proportional to 471,361.17, 707,043.20 and 116,375.24

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Solution

The fourth proportional to 471,361.17, 707,043.20 and 116,375.24 is: 174,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,361.17 : 707,043.20 = 116,375.24 : x
  2. Step 2: Convert to fraction form
    471,361.17/707,043.20 = 116,375.24/x
  3. Step 3: Cross multiply
    471,361.17x = 707,043.20 × 116,375.24
  4. Step 4: Simplify right side
    471,361.17x = 82,282,317,973.28
  5. Step 5: Solve for x
    x = 82,282,317,973.28/471,361.17
  6. Step 6: Final answer
    x = 174,563.21

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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.