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Finding the Fourth Proportional to 537,811, 806,716.56 and 163,834

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Solution

The fourth proportional to 537,811, 806,716.56 and 163,834 is: 245,751.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,811 : 806,716.56 = 163,834 : x
  2. Step 2: Convert to fraction form
    537,811/806,716.56 = 163,834/x
  3. Step 3: Cross multiply
    537,811x = 806,716.56 × 163,834
  4. Step 4: Simplify right side
    537,811x = 132,167,600,891.04
  5. Step 5: Solve for x
    x = 132,167,600,891.04/537,811
  6. Step 6: Final answer
    x = 245,751.02

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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.