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Finding the Fourth Proportional to 297,408.44, 410,418.54 and 163,271.48

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Solution

The fourth proportional to 297,408.44, 410,418.54 and 163,271.48 is: 225,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,408.44 : 410,418.54 = 163,271.48 : x
  2. Step 2: Convert to fraction form
    297,408.44/410,418.54 = 163,271.48/x
  3. Step 3: Cross multiply
    297,408.44x = 410,418.54 × 163,271.48
  4. Step 4: Simplify right side
    297,408.44x = 67,009,642,445.24
  5. Step 5: Solve for x
    x = 67,009,642,445.24/297,408.44
  6. Step 6: Final answer
    x = 225,311.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.