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Finding the Fourth Proportional to 332,680.43, 459,098.54 and 189,440.47

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Solution

The fourth proportional to 332,680.43, 459,098.54 and 189,440.47 is: 261,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,680.43 : 459,098.54 = 189,440.47 : x
  2. Step 2: Convert to fraction form
    332,680.43/459,098.54 = 189,440.47/x
  3. Step 3: Cross multiply
    332,680.43x = 459,098.54 × 189,440.47
  4. Step 4: Simplify right side
    332,680.43x = 86,971,843,193.91
  5. Step 5: Solve for x
    x = 86,971,843,193.91/332,680.43
  6. Step 6: Final answer
    x = 261,427.59

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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.