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Finding the Fourth Proportional to 465,572.01, 698,072.20 and 180,930.20

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Solution

The fourth proportional to 465,572.01, 698,072.20 and 180,930.20 is: 271,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,572.01 : 698,072.20 = 180,930.20 : x
  2. Step 2: Convert to fraction form
    465,572.01/698,072.20 = 180,930.20/x
  3. Step 3: Cross multiply
    465,572.01x = 698,072.20 × 180,930.20
  4. Step 4: Simplify right side
    465,572.01x = 126,302,342,760.44
  5. Step 5: Solve for x
    x = 126,302,342,760.44/465,572.01
  6. Step 6: Final answer
    x = 271,284.23

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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.