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Finding the Fourth Proportional to 590,504.70, 814,922.42 and 332,398.30

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Solution

The fourth proportional to 590,504.70, 814,922.42 and 332,398.30 is: 458,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,504.70 : 814,922.42 = 332,398.30 : x
  2. Step 2: Convert to fraction form
    590,504.70/814,922.42 = 332,398.30/x
  3. Step 3: Cross multiply
    590,504.70x = 814,922.42 × 332,398.30
  4. Step 4: Simplify right side
    590,504.70x = 270,878,827,039.89
  5. Step 5: Solve for x
    x = 270,878,827,039.89/590,504.70
  6. Step 6: Final answer
    x = 458,724.25

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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.