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Finding the Fourth Proportional to 550,859.20, 826,288.80 and 382,022.80

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Solution

The fourth proportional to 550,859.20, 826,288.80 and 382,022.80 is: 573,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,859.20 : 826,288.80 = 382,022.80 : x
  2. Step 2: Convert to fraction form
    550,859.20/826,288.80 = 382,022.80/x
  3. Step 3: Cross multiply
    550,859.20x = 826,288.80 × 382,022.80
  4. Step 4: Simplify right side
    550,859.20x = 315,661,160,984.64
  5. Step 5: Solve for x
    x = 315,661,160,984.64/550,859.20
  6. Step 6: Final answer
    x = 573,034.20

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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.