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Finding the Fourth Proportional to 382,759.28, 574,171.32 and 116,522

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Solution

The fourth proportional to 382,759.28, 574,171.32 and 116,522 is: 174,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,759.28 : 574,171.32 = 116,522 : x
  2. Step 2: Convert to fraction form
    382,759.28/574,171.32 = 116,522/x
  3. Step 3: Cross multiply
    382,759.28x = 574,171.32 × 116,522
  4. Step 4: Simplify right side
    382,759.28x = 66,903,590,549.04
  5. Step 5: Solve for x
    x = 66,903,590,549.04/382,759.28
  6. Step 6: Final answer
    x = 174,792.86

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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.