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Finding the Fourth Proportional to 393,556.14, 590,648.76 and 204,070.50

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Solution

The fourth proportional to 393,556.14, 590,648.76 and 204,070.50 is: 306,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,556.14 : 590,648.76 = 204,070.50 : x
  2. Step 2: Convert to fraction form
    393,556.14/590,648.76 = 204,070.50/x
  3. Step 3: Cross multiply
    393,556.14x = 590,648.76 × 204,070.50
  4. Step 4: Simplify right side
    393,556.14x = 120,533,987,777.58
  5. Step 5: Solve for x
    x = 120,533,987,777.58/393,556.14
  6. Step 6: Final answer
    x = 306,268.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.