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Finding the Fourth Proportional to 334,532.67, 461,445.12 and 198,470.31

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Solution

The fourth proportional to 334,532.67, 461,445.12 and 198,470.31 is: 273,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,532.67 : 461,445.12 = 198,470.31 : x
  2. Step 2: Convert to fraction form
    334,532.67/461,445.12 = 198,470.31/x
  3. Step 3: Cross multiply
    334,532.67x = 461,445.12 × 198,470.31
  4. Step 4: Simplify right side
    334,532.67x = 91,583,156,014.39
  5. Step 5: Solve for x
    x = 91,583,156,014.39/334,532.67
  6. Step 6: Final answer
    x = 273,764.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.