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Finding the Fourth Proportional to 301,300.49, 415,793.53 and 165,336.71

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Solution

The fourth proportional to 301,300.49, 415,793.53 and 165,336.71 is: 228,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,300.49 : 415,793.53 = 165,336.71 : x
  2. Step 2: Convert to fraction form
    301,300.49/415,793.53 = 165,336.71/x
  3. Step 3: Cross multiply
    301,300.49x = 415,793.53 × 165,336.71
  4. Step 4: Simplify right side
    301,300.49x = 68,745,934,915.63
  5. Step 5: Solve for x
    x = 68,745,934,915.63/301,300.49
  6. Step 6: Final answer
    x = 228,164.04

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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.