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Finding the Fourth Proportional to 465,739.56, 642,790.08 and 284,556.24

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Solution

The fourth proportional to 465,739.56, 642,790.08 and 284,556.24 is: 392,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,739.56 : 642,790.08 = 284,556.24 : x
  2. Step 2: Convert to fraction form
    465,739.56/642,790.08 = 284,556.24/x
  3. Step 3: Cross multiply
    465,739.56x = 642,790.08 × 284,556.24
  4. Step 4: Simplify right side
    465,739.56x = 182,909,928,274.10
  5. Step 5: Solve for x
    x = 182,909,928,274.10/465,739.56
  6. Step 6: Final answer
    x = 392,730.07

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