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Finding the Fourth Proportional to 471,361.68, 707,043.94 and 116,375.74

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Solution

The fourth proportional to 471,361.68, 707,043.94 and 116,375.74 is: 174,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,361.68 : 707,043.94 = 116,375.74 : x
  2. Step 2: Convert to fraction form
    471,361.68/707,043.94 = 116,375.74/x
  3. Step 3: Cross multiply
    471,361.68x = 707,043.94 × 116,375.74
  4. Step 4: Simplify right side
    471,361.68x = 82,282,761,730.02
  5. Step 5: Solve for x
    x = 82,282,761,730.02/471,361.68
  6. Step 6: Final answer
    x = 174,563.96

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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.