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Finding the Fourth Proportional to 431,470.32, 647,145 and 182,094

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Solution

The fourth proportional to 431,470.32, 647,145 and 182,094 is: 273,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,470.32 : 647,145 = 182,094 : x
  2. Step 2: Convert to fraction form
    431,470.32/647,145 = 182,094/x
  3. Step 3: Cross multiply
    431,470.32x = 647,145 × 182,094
  4. Step 4: Simplify right side
    431,470.32x = 117,841,221,630
  5. Step 5: Solve for x
    x = 117,841,221,630/431,470.32
  6. Step 6: Final answer
    x = 273,115.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.