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Finding the Fourth Proportional to 296,092.78, 408,583.17 and 175,213.04

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Solution

The fourth proportional to 296,092.78, 408,583.17 and 175,213.04 is: 241,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,092.78 : 408,583.17 = 175,213.04 : x
  2. Step 2: Convert to fraction form
    296,092.78/408,583.17 = 175,213.04/x
  3. Step 3: Cross multiply
    296,092.78x = 408,583.17 × 175,213.04
  4. Step 4: Simplify right side
    296,092.78x = 71,589,097,265.62
  5. Step 5: Solve for x
    x = 71,589,097,265.62/296,092.78
  6. Step 6: Final answer
    x = 241,779.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.