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Finding the Fourth Proportional to 285,754.34, 428,649.30 and 75,392.48

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Solution

The fourth proportional to 285,754.34, 428,649.30 and 75,392.48 is: 113,093.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,754.34 : 428,649.30 = 75,392.48 : x
  2. Step 2: Convert to fraction form
    285,754.34/428,649.30 = 75,392.48/x
  3. Step 3: Cross multiply
    285,754.34x = 428,649.30 × 75,392.48
  4. Step 4: Simplify right side
    285,754.34x = 32,316,933,777.26
  5. Step 5: Solve for x
    x = 32,316,933,777.26/285,754.34
  6. Step 6: Final answer
    x = 113,093.41

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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.