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Finding the Fourth Proportional to 465,450, 698,161.04 and 128,511.24

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Solution

The fourth proportional to 465,450, 698,161.04 and 128,511.24 is: 192,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,450 : 698,161.04 = 128,511.24 : x
  2. Step 2: Convert to fraction form
    465,450/698,161.04 = 128,511.24/x
  3. Step 3: Cross multiply
    465,450x = 698,161.04 × 128,511.24
  4. Step 4: Simplify right side
    465,450x = 89,721,540,970.09
  5. Step 5: Solve for x
    x = 89,721,540,970.09/465,450
  6. Step 6: Final answer
    x = 192,763.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.