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Finding the Fourth Proportional to 361,883.20, 542,824.80 and 308,228.80

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Solution

The fourth proportional to 361,883.20, 542,824.80 and 308,228.80 is: 462,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,883.20 : 542,824.80 = 308,228.80 : x
  2. Step 2: Convert to fraction form
    361,883.20/542,824.80 = 308,228.80/x
  3. Step 3: Cross multiply
    361,883.20x = 542,824.80 × 308,228.80
  4. Step 4: Simplify right side
    361,883.20x = 167,314,236,714.24
  5. Step 5: Solve for x
    x = 167,314,236,714.24/361,883.20
  6. Step 6: Final answer
    x = 462,343.20

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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.