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Finding the Fourth Proportional to 431,166.44, 646,827.58 and 178,309.60

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Solution

The fourth proportional to 431,166.44, 646,827.58 and 178,309.60 is: 267,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,166.44 : 646,827.58 = 178,309.60 : x
  2. Step 2: Convert to fraction form
    431,166.44/646,827.58 = 178,309.60/x
  3. Step 3: Cross multiply
    431,166.44x = 646,827.58 × 178,309.60
  4. Step 4: Simplify right side
    431,166.44x = 115,335,568,300.00
  5. Step 5: Solve for x
    x = 115,335,568,300.00/431,166.44
  6. Step 6: Final answer
    x = 267,496.63

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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.