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Finding the Fourth Proportional to 413,734.26, 620,601.40 and 133,251.50

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Solution

The fourth proportional to 413,734.26, 620,601.40 and 133,251.50 is: 199,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,734.26 : 620,601.40 = 133,251.50 : x
  2. Step 2: Convert to fraction form
    413,734.26/620,601.40 = 133,251.50/x
  3. Step 3: Cross multiply
    413,734.26x = 620,601.40 × 133,251.50
  4. Step 4: Simplify right side
    413,734.26x = 82,696,067,452.10
  5. Step 5: Solve for x
    x = 82,696,067,452.10/413,734.26
  6. Step 6: Final answer
    x = 199,877.25

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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.