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Finding the Fourth Proportional to 542,894.20, 814,606.26 and 383,991.10

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Solution

The fourth proportional to 542,894.20, 814,606.26 and 383,991.10 is: 576,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,894.20 : 814,606.26 = 383,991.10 : x
  2. Step 2: Convert to fraction form
    542,894.20/814,606.26 = 383,991.10/x
  3. Step 3: Cross multiply
    542,894.20x = 814,606.26 × 383,991.10
  4. Step 4: Simplify right side
    542,894.20x = 312,801,553,844.29
  5. Step 5: Solve for x
    x = 312,801,553,844.29/542,894.20
  6. Step 6: Final answer
    x = 576,174.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.