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Finding the Fourth Proportional to 542,043.24, 813,809.66 and 275,982.54

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Solution

The fourth proportional to 542,043.24, 813,809.66 and 275,982.54 is: 414,353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,043.24 : 813,809.66 = 275,982.54 : x
  2. Step 2: Convert to fraction form
    542,043.24/813,809.66 = 275,982.54/x
  3. Step 3: Cross multiply
    542,043.24x = 813,809.66 × 275,982.54
  4. Step 4: Simplify right side
    542,043.24x = 224,597,257,043.34
  5. Step 5: Solve for x
    x = 224,597,257,043.34/542,043.24
  6. Step 6: Final answer
    x = 414,353.03

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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.