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Finding the Fourth Proportional to 382,381.68, 573,535.14 and 116,144.50

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Solution

The fourth proportional to 382,381.68, 573,535.14 and 116,144.50 is: 174,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,381.68 : 573,535.14 = 116,144.50 : x
  2. Step 2: Convert to fraction form
    382,381.68/573,535.14 = 116,144.50/x
  3. Step 3: Cross multiply
    382,381.68x = 573,535.14 × 116,144.50
  4. Step 4: Simplify right side
    382,381.68x = 66,612,952,067.73
  5. Step 5: Solve for x
    x = 66,612,952,067.73/382,381.68
  6. Step 6: Final answer
    x = 174,205.40

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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.