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Finding the Fourth Proportional to 465,891.84, 698,835.84 and 133,467.84

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Solution

The fourth proportional to 465,891.84, 698,835.84 and 133,467.84 is: 200,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,891.84 : 698,835.84 = 133,467.84 : x
  2. Step 2: Convert to fraction form
    465,891.84/698,835.84 = 133,467.84/x
  3. Step 3: Cross multiply
    465,891.84x = 698,835.84 × 133,467.84
  4. Step 4: Simplify right side
    465,891.84x = 93,272,110,079.39
  5. Step 5: Solve for x
    x = 93,272,110,079.39/465,891.84
  6. Step 6: Final answer
    x = 200,201.21

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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.