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Finding the Fourth Proportional to 537,815.30, 806,729.42 and 163,841.54

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Solution

The fourth proportional to 537,815.30, 806,729.42 and 163,841.54 is: 245,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,815.30 : 806,729.42 = 163,841.54 : x
  2. Step 2: Convert to fraction form
    537,815.30/806,729.42 = 163,841.54/x
  3. Step 3: Cross multiply
    537,815.30x = 806,729.42 × 163,841.54
  4. Step 4: Simplify right side
    537,815.30x = 132,175,786,912.06
  5. Step 5: Solve for x
    x = 132,175,786,912.06/537,815.30
  6. Step 6: Final answer
    x = 245,764.28

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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.