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Finding the Fourth Proportional to 550,208.88, 825,437.16 and 195,222.24

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Solution

The fourth proportional to 550,208.88, 825,437.16 and 195,222.24 is: 292,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,208.88 : 825,437.16 = 195,222.24 : x
  2. Step 2: Convert to fraction form
    550,208.88/825,437.16 = 195,222.24/x
  3. Step 3: Cross multiply
    550,208.88x = 825,437.16 × 195,222.24
  4. Step 4: Simplify right side
    550,208.88x = 161,143,691,354.44
  5. Step 5: Solve for x
    x = 161,143,691,354.44/550,208.88
  6. Step 6: Final answer
    x = 292,877.30

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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.