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Finding the Fourth Proportional to 465,422.10, 698,133.15 and 165,912.45

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Solution

The fourth proportional to 465,422.10, 698,133.15 and 165,912.45 is: 248,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,422.10 : 698,133.15 = 165,912.45 : x
  2. Step 2: Convert to fraction form
    465,422.10/698,133.15 = 165,912.45/x
  3. Step 3: Cross multiply
    465,422.10x = 698,133.15 × 165,912.45
  4. Step 4: Simplify right side
    465,422.10x = 115,828,981,342.72
  5. Step 5: Solve for x
    x = 115,828,981,342.72/465,422.10
  6. Step 6: Final answer
    x = 248,868.68

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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.