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Finding the Fourth Proportional to 214,720.80, 322,340.40 and 213,165.60

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Solution

The fourth proportional to 214,720.80, 322,340.40 and 213,165.60 is: 320,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,720.80 : 322,340.40 = 213,165.60 : x
  2. Step 2: Convert to fraction form
    214,720.80/322,340.40 = 213,165.60/x
  3. Step 3: Cross multiply
    214,720.80x = 322,340.40 × 213,165.60
  4. Step 4: Simplify right side
    214,720.80x = 68,711,884,770.24
  5. Step 5: Solve for x
    x = 68,711,884,770.24/214,720.80
  6. Step 6: Final answer
    x = 320,005.72

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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.