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Finding the Fourth Proportional to 550,858.92, 826,065.98 and 213,722.28

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Solution

The fourth proportional to 550,858.92, 826,065.98 and 213,722.28 is: 320,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,858.92 : 826,065.98 = 213,722.28 : x
  2. Step 2: Convert to fraction form
    550,858.92/826,065.98 = 213,722.28/x
  3. Step 3: Cross multiply
    550,858.92x = 826,065.98 × 213,722.28
  4. Step 4: Simplify right side
    550,858.92x = 176,548,704,676.03
  5. Step 5: Solve for x
    x = 176,548,704,676.03/550,858.92
  6. Step 6: Final answer
    x = 320,497.13

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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.