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Finding the Fourth Proportional to 382,833, 574,512.48 and 133,515

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Solution

The fourth proportional to 382,833, 574,512.48 and 133,515 is: 200,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,833 : 574,512.48 = 133,515 : x
  2. Step 2: Convert to fraction form
    382,833/574,512.48 = 133,515/x
  3. Step 3: Cross multiply
    382,833x = 574,512.48 × 133,515
  4. Step 4: Simplify right side
    382,833x = 76,706,033,767.20
  5. Step 5: Solve for x
    x = 76,706,033,767.20/382,833
  6. Step 6: Final answer
    x = 200,364.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.