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Finding the Fourth Proportional to 428,324.10, 590,135.67 and 282,871.59

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Solution

The fourth proportional to 428,324.10, 590,135.67 and 282,871.59 is: 389,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,324.10 : 590,135.67 = 282,871.59 : x
  2. Step 2: Convert to fraction form
    428,324.10/590,135.67 = 282,871.59/x
  3. Step 3: Cross multiply
    428,324.10x = 590,135.67 × 282,871.59
  4. Step 4: Simplify right side
    428,324.10x = 166,932,615,288.62
  5. Step 5: Solve for x
    x = 166,932,615,288.62/428,324.10
  6. Step 6: Final answer
    x = 389,734.35

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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.