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Finding the Fourth Proportional to 363,828.80, 545,840.40 and 324,657.20

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Solution

The fourth proportional to 363,828.80, 545,840.40 and 324,657.20 is: 487,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,828.80 : 545,840.40 = 324,657.20 : x
  2. Step 2: Convert to fraction form
    363,828.80/545,840.40 = 324,657.20/x
  3. Step 3: Cross multiply
    363,828.80x = 545,840.40 × 324,657.20
  4. Step 4: Simplify right side
    363,828.80x = 177,211,015,910.88
  5. Step 5: Solve for x
    x = 177,211,015,910.88/363,828.80
  6. Step 6: Final answer
    x = 487,072.53

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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.