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Finding the Fourth Proportional to 464,996.25, 697,500.86 and 132,572.25

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Solution

The fourth proportional to 464,996.25, 697,500.86 and 132,572.25 is: 198,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,996.25 : 697,500.86 = 132,572.25 : x
  2. Step 2: Convert to fraction form
    464,996.25/697,500.86 = 132,572.25/x
  3. Step 3: Cross multiply
    464,996.25x = 697,500.86 × 132,572.25
  4. Step 4: Simplify right side
    464,996.25x = 92,469,257,724.27
  5. Step 5: Solve for x
    x = 92,469,257,724.27/464,996.25
  6. Step 6: Final answer
    x = 198,860.22

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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.