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Finding the Fourth Proportional to 363,712.24, 545,493.82 and 228,714.40

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Solution

The fourth proportional to 363,712.24, 545,493.82 and 228,714.40 is: 343,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,712.24 : 545,493.82 = 228,714.40 : x
  2. Step 2: Convert to fraction form
    363,712.24/545,493.82 = 228,714.40/x
  3. Step 3: Cross multiply
    363,712.24x = 545,493.82 × 228,714.40
  4. Step 4: Simplify right side
    363,712.24x = 124,762,291,745.01
  5. Step 5: Solve for x
    x = 124,762,291,745.01/363,712.24
  6. Step 6: Final answer
    x = 343,024.73

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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.