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Finding the Fourth Proportional to 465,928, 698,892 and 133,504

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Solution

The fourth proportional to 465,928, 698,892 and 133,504 is: 200,256

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,928 : 698,892 = 133,504 : x
  2. Step 2: Convert to fraction form
    465,928/698,892 = 133,504/x
  3. Step 3: Cross multiply
    465,928x = 698,892 × 133,504
  4. Step 4: Simplify right side
    465,928x = 93,304,877,568
  5. Step 5: Solve for x
    x = 93,304,877,568/465,928
  6. Step 6: Final answer
    x = 200,256

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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.