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Finding the Fourth Proportional to 422,594.36, 633,914.67 and 107,054

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Solution

The fourth proportional to 422,594.36, 633,914.67 and 107,054 is: 160,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,594.36 : 633,914.67 = 107,054 : x
  2. Step 2: Convert to fraction form
    422,594.36/633,914.67 = 107,054/x
  3. Step 3: Cross multiply
    422,594.36x = 633,914.67 × 107,054
  4. Step 4: Simplify right side
    422,594.36x = 67,863,101,082.18
  5. Step 5: Solve for x
    x = 67,863,101,082.18/422,594.36
  6. Step 6: Final answer
    x = 160,586.86

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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.