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Finding the Fourth Proportional to 294,138.40, 441,742.20 and 176,040.40

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Solution

The fourth proportional to 294,138.40, 441,742.20 and 176,040.40 is: 264,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,138.40 : 441,742.20 = 176,040.40 : x
  2. Step 2: Convert to fraction form
    294,138.40/441,742.20 = 176,040.40/x
  3. Step 3: Cross multiply
    294,138.40x = 441,742.20 × 176,040.40
  4. Step 4: Simplify right side
    294,138.40x = 77,764,473,584.88
  5. Step 5: Solve for x
    x = 77,764,473,584.88/294,138.40
  6. Step 6: Final answer
    x = 264,380.56

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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.