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Finding the Fourth Proportional to 422,491.05, 633,737.04 and 106,947.93

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Solution

The fourth proportional to 422,491.05, 633,737.04 and 106,947.93 is: 160,422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,491.05 : 633,737.04 = 106,947.93 : x
  2. Step 2: Convert to fraction form
    422,491.05/633,737.04 = 106,947.93/x
  3. Step 3: Cross multiply
    422,491.05x = 633,737.04 × 106,947.93
  4. Step 4: Simplify right side
    422,491.05x = 67,776,864,592.33
  5. Step 5: Solve for x
    x = 67,776,864,592.33/422,491.05
  6. Step 6: Final answer
    x = 160,422.01

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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.