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Finding the Fourth Proportional to 431,837.42, 646,427.50 and 281,754.54

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Solution

The fourth proportional to 431,837.42, 646,427.50 and 281,754.54 is: 421,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,837.42 : 646,427.50 = 281,754.54 : x
  2. Step 2: Convert to fraction form
    431,837.42/646,427.50 = 281,754.54/x
  3. Step 3: Cross multiply
    431,837.42x = 646,427.50 × 281,754.54
  4. Step 4: Simplify right side
    431,837.42x = 182,133,883,786.33
  5. Step 5: Solve for x
    x = 182,133,883,786.33/431,837.42
  6. Step 6: Final answer
    x = 421,764.95

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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.