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Finding the Fourth Proportional to 312,285.38, 430,954.02 and 169,046.60

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Solution

The fourth proportional to 312,285.38, 430,954.02 and 169,046.60 is: 233,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,285.38 : 430,954.02 = 169,046.60 : x
  2. Step 2: Convert to fraction form
    312,285.38/430,954.02 = 169,046.60/x
  3. Step 3: Cross multiply
    312,285.38x = 430,954.02 × 169,046.60
  4. Step 4: Simplify right side
    312,285.38x = 72,851,309,682.56
  5. Step 5: Solve for x
    x = 72,851,309,682.56/312,285.38
  6. Step 6: Final answer
    x = 233,284.41

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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.