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Finding the Fourth Proportional to 382,141.24, 573,213.24 and 115,904.06

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Solution

The fourth proportional to 382,141.24, 573,213.24 and 115,904.06 is: 173,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,141.24 : 573,213.24 = 115,904.06 : x
  2. Step 2: Convert to fraction form
    382,141.24/573,213.24 = 115,904.06/x
  3. Step 3: Cross multiply
    382,141.24x = 573,213.24 × 115,904.06
  4. Step 4: Simplify right side
    382,141.24x = 66,437,741,761.75
  5. Step 5: Solve for x
    x = 66,437,741,761.75/382,141.24
  6. Step 6: Final answer
    x = 173,856.51

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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.