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Finding the Fourth Proportional to 382,814.70, 574,305.06 and 116,568.24

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Solution

The fourth proportional to 382,814.70, 574,305.06 and 116,568.24 is: 174,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,814.70 : 574,305.06 = 116,568.24 : x
  2. Step 2: Convert to fraction form
    382,814.70/574,305.06 = 116,568.24/x
  3. Step 3: Cross multiply
    382,814.70x = 574,305.06 × 116,568.24
  4. Step 4: Simplify right side
    382,814.70x = 66,945,730,067.29
  5. Step 5: Solve for x
    x = 66,945,730,067.29/382,814.70
  6. Step 6: Final answer
    x = 174,877.64

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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.