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Finding the Fourth Proportional to 294,793.28, 406,764.92 and 165,714.56

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Solution

The fourth proportional to 294,793.28, 406,764.92 and 165,714.56 is: 228,658.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,793.28 : 406,764.92 = 165,714.56 : x
  2. Step 2: Convert to fraction form
    294,793.28/406,764.92 = 165,714.56/x
  3. Step 3: Cross multiply
    294,793.28x = 406,764.92 × 165,714.56
  4. Step 4: Simplify right side
    294,793.28x = 67,406,869,741.24
  5. Step 5: Solve for x
    x = 67,406,869,741.24/294,793.28
  6. Step 6: Final answer
    x = 228,658.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.