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Finding the Fourth Proportional to 260,187.40, 389,697.90 and 213,531.40

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Solution

The fourth proportional to 260,187.40, 389,697.90 and 213,531.40 is: 319,818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,187.40 : 389,697.90 = 213,531.40 : x
  2. Step 2: Convert to fraction form
    260,187.40/389,697.90 = 213,531.40/x
  3. Step 3: Cross multiply
    260,187.40x = 389,697.90 × 213,531.40
  4. Step 4: Simplify right side
    260,187.40x = 83,212,738,164.06
  5. Step 5: Solve for x
    x = 83,212,738,164.06/260,187.40
  6. Step 6: Final answer
    x = 319,818.48

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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.