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Finding the Fourth Proportional to 432,194.14, 647,766.32 and 305,871.31

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Solution

The fourth proportional to 432,194.14, 647,766.32 and 305,871.31 is: 458,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,194.14 : 647,766.32 = 305,871.31 : x
  2. Step 2: Convert to fraction form
    432,194.14/647,766.32 = 305,871.31/x
  3. Step 3: Cross multiply
    432,194.14x = 647,766.32 × 305,871.31
  4. Step 4: Simplify right side
    432,194.14x = 198,133,130,229.47
  5. Step 5: Solve for x
    x = 198,133,130,229.47/432,194.14
  6. Step 6: Final answer
    x = 458,435.49

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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.