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Finding the Fourth Proportional to 551,448.80, 827,173.20 and 219,024.80

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Solution

The fourth proportional to 551,448.80, 827,173.20 and 219,024.80 is: 328,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,448.80 : 827,173.20 = 219,024.80 : x
  2. Step 2: Convert to fraction form
    551,448.80/827,173.20 = 219,024.80/x
  3. Step 3: Cross multiply
    551,448.80x = 827,173.20 × 219,024.80
  4. Step 4: Simplify right side
    551,448.80x = 181,171,444,695.36
  5. Step 5: Solve for x
    x = 181,171,444,695.36/551,448.80
  6. Step 6: Final answer
    x = 328,537.20

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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.