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Finding the Fourth Proportional to 382,969.94, 574,540.25 and 116,751.24

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Solution

The fourth proportional to 382,969.94, 574,540.25 and 116,751.24 is: 175,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,969.94 : 574,540.25 = 116,751.24 : x
  2. Step 2: Convert to fraction form
    382,969.94/574,540.25 = 116,751.24/x
  3. Step 3: Cross multiply
    382,969.94x = 574,540.25 × 116,751.24
  4. Step 4: Simplify right side
    382,969.94x = 67,078,286,033.65
  5. Step 5: Solve for x
    x = 67,078,286,033.65/382,969.94
  6. Step 6: Final answer
    x = 175,152.88

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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.