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Finding the Fourth Proportional to 826,847.40, 1,238,105.88 and 541,641

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Solution

The fourth proportional to 826,847.40, 1,238,105.88 and 541,641 is: 811,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,847.40 : 1,238,105.88 = 541,641 : x
  2. Step 2: Convert to fraction form
    826,847.40/1,238,105.88 = 541,641/x
  3. Step 3: Cross multiply
    826,847.40x = 1,238,105.88 × 541,641
  4. Step 4: Simplify right side
    826,847.40x = 670,608,906,949.08
  5. Step 5: Solve for x
    x = 670,608,906,949.08/826,847.40
  6. Step 6: Final answer
    x = 811,043.13

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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.