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Finding the Fourth Proportional to 550,192.80, 825,356.88 and 213,239.04

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Solution

The fourth proportional to 550,192.80, 825,356.88 and 213,239.04 is: 319,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,192.80 : 825,356.88 = 213,239.04 : x
  2. Step 2: Convert to fraction form
    550,192.80/825,356.88 = 213,239.04/x
  3. Step 3: Cross multiply
    550,192.80x = 825,356.88 × 213,239.04
  4. Step 4: Simplify right side
    550,192.80x = 175,998,308,748.60
  5. Step 5: Solve for x
    x = 175,998,308,748.60/550,192.80
  6. Step 6: Final answer
    x = 319,884.79

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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.