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Finding the Fourth Proportional to 590,269.10, 814,553.43 and 332,160.44

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Solution

The fourth proportional to 590,269.10, 814,553.43 and 332,160.44 is: 458,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,269.10 : 814,553.43 = 332,160.44 : x
  2. Step 2: Convert to fraction form
    590,269.10/814,553.43 = 332,160.44/x
  3. Step 3: Cross multiply
    590,269.10x = 814,553.43 × 332,160.44
  4. Step 4: Simplify right side
    590,269.10x = 270,562,425,712.31
  5. Step 5: Solve for x
    x = 270,562,425,712.31/590,269.10
  6. Step 6: Final answer
    x = 458,371.32

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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.