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Finding the Fourth Proportional to 301,300.74, 415,793.87 and 165,336.96

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Solution

The fourth proportional to 301,300.74, 415,793.87 and 165,336.96 is: 228,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,300.74 : 415,793.87 = 165,336.96 : x
  2. Step 2: Convert to fraction form
    301,300.74/415,793.87 = 165,336.96/x
  3. Step 3: Cross multiply
    301,300.74x = 415,793.87 × 165,336.96
  4. Step 4: Simplify right side
    301,300.74x = 68,746,094,452.44
  5. Step 5: Solve for x
    x = 68,746,094,452.44/301,300.74
  6. Step 6: Final answer
    x = 228,164.37

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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.