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Finding the Fourth Proportional to 294,527.64, 441,806.04 and 84,196.56

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Solution

The fourth proportional to 294,527.64, 441,806.04 and 84,196.56 is: 126,299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,527.64 : 441,806.04 = 84,196.56 : x
  2. Step 2: Convert to fraction form
    294,527.64/441,806.04 = 84,196.56/x
  3. Step 3: Cross multiply
    294,527.64x = 441,806.04 × 84,196.56
  4. Step 4: Simplify right side
    294,527.64x = 37,198,548,755.22
  5. Step 5: Solve for x
    x = 37,198,548,755.22/294,527.64
  6. Step 6: Final answer
    x = 126,299.01

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Why These Related Problems?

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