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Finding the Fourth Proportional to 382,090.59, 527,265.75 and 212,321.07

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Solution

The fourth proportional to 382,090.59, 527,265.75 and 212,321.07 is: 292,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,090.59 : 527,265.75 = 212,321.07 : x
  2. Step 2: Convert to fraction form
    382,090.59/527,265.75 = 212,321.07/x
  3. Step 3: Cross multiply
    382,090.59x = 527,265.75 × 212,321.07
  4. Step 4: Simplify right side
    382,090.59x = 111,949,629,010.56
  5. Step 5: Solve for x
    x = 111,949,629,010.56/382,090.59
  6. Step 6: Final answer
    x = 292,992.37

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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.