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Finding the Fourth Proportional to 363,714.24, 545,496.82 and 228,716.40

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Solution

The fourth proportional to 363,714.24, 545,496.82 and 228,716.40 is: 343,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,714.24 : 545,496.82 = 228,716.40 : x
  2. Step 2: Convert to fraction form
    363,714.24/545,496.82 = 228,716.40/x
  3. Step 3: Cross multiply
    363,714.24x = 545,496.82 × 228,716.40
  4. Step 4: Simplify right side
    363,714.24x = 124,764,068,881.85
  5. Step 5: Solve for x
    x = 124,764,068,881.85/363,714.24
  6. Step 6: Final answer
    x = 343,027.73

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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.