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Finding the Fourth Proportional to 551,400.80, 827,101.20 and 218,976.80

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Solution

The fourth proportional to 551,400.80, 827,101.20 and 218,976.80 is: 328,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,400.80 : 827,101.20 = 218,976.80 : x
  2. Step 2: Convert to fraction form
    551,400.80/827,101.20 = 218,976.80/x
  3. Step 3: Cross multiply
    551,400.80x = 827,101.20 × 218,976.80
  4. Step 4: Simplify right side
    551,400.80x = 181,115,974,052.16
  5. Step 5: Solve for x
    x = 181,115,974,052.16/551,400.80
  6. Step 6: Final answer
    x = 328,465.20

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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.