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Finding the Fourth Proportional to 214,408.10, 321,627.64 and 56,634.50

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Solution

The fourth proportional to 214,408.10, 321,627.64 and 56,634.50 is: 84,955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,408.10 : 321,627.64 = 56,634.50 : x
  2. Step 2: Convert to fraction form
    214,408.10/321,627.64 = 56,634.50/x
  3. Step 3: Cross multiply
    214,408.10x = 321,627.64 × 56,634.50
  4. Step 4: Simplify right side
    214,408.10x = 18,215,220,577.58
  5. Step 5: Solve for x
    x = 18,215,220,577.58/214,408.10
  6. Step 6: Final answer
    x = 84,955.84

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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.