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Finding the Fourth Proportional to 382,774.56, 574,244.87 and 116,528.19

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Solution

The fourth proportional to 382,774.56, 574,244.87 and 116,528.19 is: 174,817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,774.56 : 574,244.87 = 116,528.19 : x
  2. Step 2: Convert to fraction form
    382,774.56/574,244.87 = 116,528.19/x
  3. Step 3: Cross multiply
    382,774.56x = 574,244.87 × 116,528.19
  4. Step 4: Simplify right side
    382,774.56x = 66,915,714,735.24
  5. Step 5: Solve for x
    x = 66,915,714,735.24/382,774.56
  6. Step 6: Final answer
    x = 174,817.56

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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.