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Finding the Fourth Proportional to 412,963.92, 619,326.81 and 113,454.27

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Solution

The fourth proportional to 412,963.92, 619,326.81 and 113,454.27 is: 170,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,963.92 : 619,326.81 = 113,454.27 : x
  2. Step 2: Convert to fraction form
    412,963.92/619,326.81 = 113,454.27/x
  3. Step 3: Cross multiply
    412,963.92x = 619,326.81 × 113,454.27
  4. Step 4: Simplify right side
    412,963.92x = 70,265,271,119.98
  5. Step 5: Solve for x
    x = 70,265,271,119.98/412,963.92
  6. Step 6: Final answer
    x = 170,148.69

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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.