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Finding the Fourth Proportional to 322,912.35, 484,393.29 and 98,291.97

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Solution

The fourth proportional to 322,912.35, 484,393.29 and 98,291.97 is: 147,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,912.35 : 484,393.29 = 98,291.97 : x
  2. Step 2: Convert to fraction form
    322,912.35/484,393.29 = 98,291.97/x
  3. Step 3: Cross multiply
    322,912.35x = 484,393.29 × 98,291.97
  4. Step 4: Simplify right side
    322,912.35x = 47,611,970,728.88
  5. Step 5: Solve for x
    x = 47,611,970,728.88/322,912.35
  6. Step 6: Final answer
    x = 147,445.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.