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Finding the Fourth Proportional to 334,053.89, 461,013.23 and 198,168.29

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Solution

The fourth proportional to 334,053.89, 461,013.23 and 198,168.29 is: 273,483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,053.89 : 461,013.23 = 198,168.29 : x
  2. Step 2: Convert to fraction form
    334,053.89/461,013.23 = 198,168.29/x
  3. Step 3: Cross multiply
    334,053.89x = 461,013.23 × 198,168.29
  4. Step 4: Simplify right side
    334,053.89x = 91,358,203,456.48
  5. Step 5: Solve for x
    x = 91,358,203,456.48/334,053.89
  6. Step 6: Final answer
    x = 273,483.43

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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.