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Finding the Fourth Proportional to 465,990.33, 698,984.31 and 129,029.85

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Solution

The fourth proportional to 465,990.33, 698,984.31 and 129,029.85 is: 193,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,990.33 : 698,984.31 = 129,029.85 : x
  2. Step 2: Convert to fraction form
    465,990.33/698,984.31 = 129,029.85/x
  3. Step 3: Cross multiply
    465,990.33x = 698,984.31 × 129,029.85
  4. Step 4: Simplify right side
    465,990.33x = 90,189,843,776.71
  5. Step 5: Solve for x
    x = 90,189,843,776.71/465,990.33
  6. Step 6: Final answer
    x = 193,544.46

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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.