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Finding the Fourth Proportional to 310,543.92, 465,914.31 and 110,859.89

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Solution

The fourth proportional to 310,543.92, 465,914.31 and 110,859.89 is: 166,324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,543.92 : 465,914.31 = 110,859.89 : x
  2. Step 2: Convert to fraction form
    310,543.92/465,914.31 = 110,859.89/x
  3. Step 3: Cross multiply
    310,543.92x = 465,914.31 × 110,859.89
  4. Step 4: Simplify right side
    310,543.92x = 51,651,206,826.45
  5. Step 5: Solve for x
    x = 51,651,206,826.45/310,543.92
  6. Step 6: Final answer
    x = 166,324.97

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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.