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Finding the Fourth Proportional to 542,363.75, 813,453.13 and 143,008.44

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Solution

The fourth proportional to 542,363.75, 813,453.13 and 143,008.44 is: 214,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,363.75 : 813,453.13 = 143,008.44 : x
  2. Step 2: Convert to fraction form
    542,363.75/813,453.13 = 143,008.44/x
  3. Step 3: Cross multiply
    542,363.75x = 813,453.13 × 143,008.44
  4. Step 4: Simplify right side
    542,363.75x = 116,330,660,262.73
  5. Step 5: Solve for x
    x = 116,330,660,262.73/542,363.75
  6. Step 6: Final answer
    x = 214,488.27

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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.