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Finding the Fourth Proportional to 537,511.50, 806,383.86 and 163,524.78

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Solution

The fourth proportional to 537,511.50, 806,383.86 and 163,524.78 is: 245,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,511.50 : 806,383.86 = 163,524.78 : x
  2. Step 2: Convert to fraction form
    537,511.50/806,383.86 = 163,524.78/x
  3. Step 3: Cross multiply
    537,511.50x = 806,383.86 × 163,524.78
  4. Step 4: Simplify right side
    537,511.50x = 131,863,743,302.05
  5. Step 5: Solve for x
    x = 131,863,743,302.05/537,511.50
  6. Step 6: Final answer
    x = 245,322.65

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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.