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Finding the Fourth Proportional to 429,695.69, 644,540.97 and 109,847.05

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Solution

The fourth proportional to 429,695.69, 644,540.97 and 109,847.05 is: 164,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,695.69 : 644,540.97 = 109,847.05 : x
  2. Step 2: Convert to fraction form
    429,695.69/644,540.97 = 109,847.05/x
  3. Step 3: Cross multiply
    429,695.69x = 644,540.97 × 109,847.05
  4. Step 4: Simplify right side
    429,695.69x = 70,800,925,725.45
  5. Step 5: Solve for x
    x = 70,800,925,725.45/429,695.69
  6. Step 6: Final answer
    x = 164,769.92

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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.