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Finding the Fourth Proportional to 260,091.40, 389,553.90 and 213,435.40

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Solution

The fourth proportional to 260,091.40, 389,553.90 and 213,435.40 is: 319,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,091.40 : 389,553.90 = 213,435.40 : x
  2. Step 2: Convert to fraction form
    260,091.40/389,553.90 = 213,435.40/x
  3. Step 3: Cross multiply
    260,091.40x = 389,553.90 × 213,435.40
  4. Step 4: Simplify right side
    260,091.40x = 83,144,592,468.06
  5. Step 5: Solve for x
    x = 83,144,592,468.06/260,091.40
  6. Step 6: Final answer
    x = 319,674.52

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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.