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Finding the Fourth Proportional to 361,855.20, 542,782.80 and 308,200.80

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Solution

The fourth proportional to 361,855.20, 542,782.80 and 308,200.80 is: 462,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,855.20 : 542,782.80 = 308,200.80 : x
  2. Step 2: Convert to fraction form
    361,855.20/542,782.80 = 308,200.80/x
  3. Step 3: Cross multiply
    361,855.20x = 542,782.80 × 308,200.80
  4. Step 4: Simplify right side
    361,855.20x = 167,286,093,186.24
  5. Step 5: Solve for x
    x = 167,286,093,186.24/361,855.20
  6. Step 6: Final answer
    x = 462,301.20

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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.