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Finding the Fourth Proportional to 332,160, 458,380.80 and 198,024

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Solution

The fourth proportional to 332,160, 458,380.80 and 198,024 is: 273,273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,160 : 458,380.80 = 198,024 : x
  2. Step 2: Convert to fraction form
    332,160/458,380.80 = 198,024/x
  3. Step 3: Cross multiply
    332,160x = 458,380.80 × 198,024
  4. Step 4: Simplify right side
    332,160x = 90,770,399,539.20
  5. Step 5: Solve for x
    x = 90,770,399,539.20/332,160
  6. Step 6: Final answer
    x = 273,273.12

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Why These Related Problems?

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