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Finding the Fourth Proportional to 464,473.50, 696,827.34 and 132,049.50

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Solution

The fourth proportional to 464,473.50, 696,827.34 and 132,049.50 is: 198,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,473.50 : 696,827.34 = 132,049.50 : x
  2. Step 2: Convert to fraction form
    464,473.50/696,827.34 = 132,049.50/x
  3. Step 3: Cross multiply
    464,473.50x = 696,827.34 × 132,049.50
  4. Step 4: Simplify right side
    464,473.50x = 92,015,701,833.33
  5. Step 5: Solve for x
    x = 92,015,701,833.33/464,473.50
  6. Step 6: Final answer
    x = 198,107.54

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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.