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Finding the Fourth Proportional to 550,822.80, 826,234.20 and 410,854.80

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Solution

The fourth proportional to 550,822.80, 826,234.20 and 410,854.80 is: 616,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,822.80 : 826,234.20 = 410,854.80 : x
  2. Step 2: Convert to fraction form
    550,822.80/826,234.20 = 410,854.80/x
  3. Step 3: Cross multiply
    550,822.80x = 826,234.20 × 410,854.80
  4. Step 4: Simplify right side
    550,822.80x = 339,462,286,994.16
  5. Step 5: Solve for x
    x = 339,462,286,994.16/550,822.80
  6. Step 6: Final answer
    x = 616,282.20

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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.