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Finding the Fourth Proportional to 291,272.58, 402,080.04 and 195,834.60

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Solution

The fourth proportional to 291,272.58, 402,080.04 and 195,834.60 is: 270,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,272.58 : 402,080.04 = 195,834.60 : x
  2. Step 2: Convert to fraction form
    291,272.58/402,080.04 = 195,834.60/x
  3. Step 3: Cross multiply
    291,272.58x = 402,080.04 × 195,834.60
  4. Step 4: Simplify right side
    291,272.58x = 78,741,183,801.38
  5. Step 5: Solve for x
    x = 78,741,183,801.38/291,272.58
  6. Step 6: Final answer
    x = 270,335.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.