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Finding the Fourth Proportional to 465,745.82, 698,618.70 and 150,202.71

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Solution

The fourth proportional to 465,745.82, 698,618.70 and 150,202.71 is: 225,304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,745.82 : 698,618.70 = 150,202.71 : x
  2. Step 2: Convert to fraction form
    465,745.82/698,618.70 = 150,202.71/x
  3. Step 3: Cross multiply
    465,745.82x = 698,618.70 × 150,202.71
  4. Step 4: Simplify right side
    465,745.82x = 104,934,421,996.68
  5. Step 5: Solve for x
    x = 104,934,421,996.68/465,745.82
  6. Step 6: Final answer
    x = 225,304.06

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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.