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Finding the Fourth Proportional to 590,283.78, 814,489.92 and 332,124.90

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Solution

The fourth proportional to 590,283.78, 814,489.92 and 332,124.90 is: 458,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,283.78 : 814,489.92 = 332,124.90 : x
  2. Step 2: Convert to fraction form
    590,283.78/814,489.92 = 332,124.90/x
  3. Step 3: Cross multiply
    590,283.78x = 814,489.92 × 332,124.90
  4. Step 4: Simplify right side
    590,283.78x = 270,512,383,231.01
  5. Step 5: Solve for x
    x = 270,512,383,231.01/590,283.78
  6. Step 6: Final answer
    x = 458,275.14

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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.