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Finding the Fourth Proportional to 412,667.76, 618,960.14 and 113,178.46

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Solution

The fourth proportional to 412,667.76, 618,960.14 and 113,178.46 is: 169,756.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,667.76 : 618,960.14 = 113,178.46 : x
  2. Step 2: Convert to fraction form
    412,667.76/618,960.14 = 113,178.46/x
  3. Step 3: Cross multiply
    412,667.76x = 618,960.14 × 113,178.46
  4. Step 4: Simplify right side
    412,667.76x = 70,052,955,446.58
  5. Step 5: Solve for x
    x = 70,052,955,446.58/412,667.76
  6. Step 6: Final answer
    x = 169,756.31

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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.