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Finding the Fourth Proportional to 332,096.64, 458,361.56 and 203,057.16

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Solution

The fourth proportional to 332,096.64, 458,361.56 and 203,057.16 is: 280,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,096.64 : 458,361.56 = 203,057.16 : x
  2. Step 2: Convert to fraction form
    332,096.64/458,361.56 = 203,057.16/x
  3. Step 3: Cross multiply
    332,096.64x = 458,361.56 × 203,057.16
  4. Step 4: Simplify right side
    332,096.64x = 93,073,596,626.77
  5. Step 5: Solve for x
    x = 93,073,596,626.77/332,096.64
  6. Step 6: Final answer
    x = 280,260.58

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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.